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10 maths mensuration

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Options 1) 2 / 3 Лr 2 3) 3/2Лr 3 4) 2/3Лr 3 2) 4/3Лr 3 Ans :4) 2/3Лr 3 Question : The formula to find the volume of hemisphere is------- Czs À ðUÉ ÆüÀ £À ¥s À ®ªÀ £À Äß PÀ AqÀ Ä»rAiÀ Ä®Ä §¼À ¸À ĪÀ ¸À ÆvÀ æ ------
Transcript

Options

1) 2/3 Лr2

3) 3/2Лr3 4) 2/3Лr3

2) 4/3Лr3

Ans :4) 2/3Лr3

Question : The formula to find the volume of hemisphere is------- CzsÀðUÉÆüÀzÀ WÀ£À¥sÀ®ªÀ£ÀÄß PÀAqÀÄ»rAiÀÄ®Ä §¼À̧ ÀĪÀ ¸ÀÆvÀæ ------

Options

a) 2/3 Лr2

c) 3/2Лr3

d)2/3Лr3

b) 4/3Лr3

Ans :

Question : The formula to find the volume of hemisphere is

Options

a. 3cc

c. 27cc

d. 81cc

b. 9cc

Ans :

Question : A cylinder and a cone have the same radius and height, if the volume of cylinder is 81cc the volume of cone is

Options

(A) 2πr ( r + h )

(C) πr ( r + l )

(D) 1 πr 2 h.3

(B) πr ( r + h)

Ans :

Question : The formula used to find the total surface area of a cone is

Options

(A) 280 sq.cm

(C) 880 sq.cm

(D) 140 sq.cm

(B) 1760 sq.cm

Ans :

Question :The circumference of a hollow cylindrical pipe is 14 cm and the height is 20 cm. The lateral surface area of the pipe is

Options

(A) 2464 sq.cm

(C) 88 sq.cm

(D) 616 sq.cm.

(B) 154 sq.cm

Ans :

Question : The total surface area of a sphere with diameter 14 cm is

Options

(A) 550 cubic m

(C) 35 cubic m

(D) 110 cubic m

(B) 70 cubicm

Ans :

Question : The height of water level in a circular well is 7 m and its diameter is 10 m. Volume of water stored in the well is

Options

(A) πrh

(C) 2πrh

(D) 2πr 2 h.

(B) πr 2 h

Ans :

Question : Formula for Lateral surface area of a cylinder is

Options

(A) 396 sq.cm

(C) 78 sq.cm

(D) 54 sq.cm.

(B) 792 sq.cm

Ans :

Question : The curved surface area of a cone, whose circumference of the base is 66 cm and slant height is 12 cm, is

Options

(A) length

(C) area of surface

(D) volume

(B) breadth

Ans :

Question : A solid plastic sphere is melted and converted to a solid cube, then there will be no change in its

Options

(A) 1540 c.c.

(C) 164 c.c

(D) 144 c.c

(B) 15·4 c.c.

Ans :

Question : Area of the base of a circular cylinder is 154 sq.cm and height is 10 cm. Then volume of cylinder is

Options

(A) 4πr 2

(C) 3πr 2

(D) πr 2 .

(B) 2πr 2

Ans :

Question : Total area of solid hemisphere is

Options

(A) 2 πrh

(C) 2 πr 2 h

(D) 2 πr ( r + h ).

(B) πr 2 h

Ans :

Question : The formula to find the curved surface area of a cylinder is

Options

(A) 5 cm

(C) 12 cm

(D) 14 cm.

(B) 10 cm

Ans :

Question : The curved surface area of a cone is 440 sq.cm. If the slant height is 14 cm, then its radius is

Options

(A) 3 : 1

(C) 3 : 1

(D) 2 : 1.

(B) 2 : 1

Ans :

Question : The volumes of a cone and a cylinder with same height are equal. Then the ratio between their radii is

Options

(A) lateral surface area of a cylinder

(C) volume of a cylinder

(D) surface area of a sphere.

(B) total surface area of a cylinder

Ans :

Question : A = 2πr ( r + h ). This formula can be used to find

Options

(A) cone

(C) hemisphere

(D) sphere.

(B) cylinder

Ans :

Question : The solid described by revolution of a semicircle about a fixed diameter is

Options

(A) 30 cm 3

(C) 90 cm 3

(D) 270 cm 3

(B) 45 cm 3

Ans :

Question : The volume of a cone is 90 cm 3 . The volume of a cylinder whose height and radius is same as that of the cone is

Options

(A) V = πr 2 h/3

(C) V = 2πr 3 /3

(D) V = 3πr 3 /4

(B) V = 4πr 3/3

Ans :

Question : Volume of a hemisphere can be calculated by using the formula

Options

(A) 15400 sq.cm

(C) 1540 sq.cm

(D) 1550 sq.cm.

(B) 154 sq.cm

Ans :

Question : The volume of a cylinder is 1540 cm 3 . Its height is 10 cm. The area of its base is

Options

(A) Icosahedron

(C) Hexahedron

(D) Tetrahedron

(B) Dodecahedron

Ans :

Question : A polyhedral graph is given in the figure. The polyhedral solid obtained by this is

Options

(A) 2 πrh

(C) πr ( r + h )

(D) 2 πr ( r + h )

(B) 2 πr 2 ( r + h )

Ans :

Question : The formula used to find the total surface area of a solid cylinder is

Options

(A) 0

(C) 2

(D) 3.

(B) 1

Ans :

Question :The number of plane surfaces in a solid cone is

Options

(A) 8 : 27

(C) 3 : 2

(D) 2 : 3

(B) 4 : 9

Ans :

Question : Ratio between the radii of two solid spheres is 2 : 3, then the ratio between their volumes is

Options

(A) 6 cm

(C) 12 cm

(D) 18 cm.

(B) 9 cm

Ans :

Question : The volume of a solid cone is 60 cm 3 and the area of the base is 20 cm 2 . Then the height is

Options

(A) 44 cm

(C) 11 cm

(D) 7 cm

(B) 22 cm

Ans :

Question : A metal sheet of length 2 m and breadth 44 cm is rolled to form a hollow pipe of length 2 m. Then the radius of that pipe is

Options

(A) cone

(C) sphere

(D) cube.

(B) cylinder

Ans :

Question : The revolution of a right angled triangle about one of the sides containing the right angle generates a solid called

Options

(A) 2 πrh

(C) πrh

(D) πrl .

(B) 2 πr ( r + h )

Ans :

Question : The total surface area of a cylinder is

Options

(A) 516 cm 2

(C) 88 cm 2

(D) 616 cm 2 .

(B) 416 cm 2

Ans :

Question : The surface area of a sphere whose radius is 7 cm, is

Options

A) 4/3 cm

C) 8cm

D) 12cm

B) 2cm

Ans :

Question : Height of a cylindrical ice cream cup is 4cm.If a cone of same radius is used ,then its height is

Options

A) 7cm

C) 14cm

D) 14.2cm

B) 7.5cm

Ans :

Question : If the surface area of a sphere is 616 sq.cm then its diameter is

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Options

1) 3cc

3) 27cc 4) 81cc

2) 9cc

Ans :3) 27cc

Question : A cylinder and a cone have the same radius and height, if the volume of cylinder is 81cc the volume of cone is …. MAzÉà wædå ªÀÄvÀÄÛ JvÀÛgÀªÀ£ÀÄß ºÉÆA¢gÀĪÀ ¹ É̄AqÀgï ªÀÄvÀÄÛ ±ÀAPÀÄUÀ¼À°è ¹ É̄AqÀgï£À WÀ£À¥sÀ® 81 WÀ̧ ÉA«Äà DzÀgÉ ±ÀAPÀÄ«£À WÀ£À¥sÀ®-----

Options

1) 3 : 2

3) 27 : 8 4) 2 : 3

2) 8 : 27

Ans :2) 8 : 27

Question : The radii to two spheres are the ratio 2:3 then the ratio between their volumes is --------------------

Options

1) 2πr ( r + h )

3) πr ( r + l ) 4) 1 πr 2 h. 3

2) πr ( r + h)

Ans :3) πr ( r + l )

Question :

The formula used to find the total surface area of a cone is

Options

1) 280 sq.cm

3) 880 sq.cm 4) 140 sq.cm.

2) 1760 sq.cm

Ans :4) 140 sq.cm.

Question : The circumference of a hollow cylindrical pipe is 14 cm and the height is 20 cm. The lateral surface area of the pipe is

Options

1) 2464 sq.cm

3) 88 sq.cm 4) 616 sq.cm.

2) 154 sq.cm

Ans :4) 616 sq.cm.

Question :

The total surface area of a sphere with diameter 14 cm is

Options

1) 550 cubic m

3) 35 cubic m 4) 110 cubic m.

2) 70 cubicm

Ans :1) 550 cubic m

Question : The height of water level in a circular well is 7 m and its diameter is 10 m. Volume of water stored in the well is

Options

1) πrh

3) 2πrh 4) 2πr 2 h.

2) πr 2 h

Ans :3) 2πrh

Question :

Formula for Lateral surface area of a cylinder is

Options

1) 396 sq.cm

3) 78 sq.cm 4) 54 sq.cm

2) 792 sq.cm

Ans :1) 396 sq.cm

Question : The curved surface area of a cone, whose circumference of the base is 66 cm and slant height is 12 cm, is

Options

1) length

3) area of surface

4) volume.

2) breadth

Ans :4) volume.

Question : A solid plastic sphere is melted and converted to a solid cube, then there will be no change in its

Options

1) 1540 c.c.

3) 164 c.c. 4) 144 c.c.

2) 15·4 c.c.

Ans :1) 1540 c.c.

Question : Area of the base of a circular cylinder is 154 sq.cm and height is 10 cm. Then volume of cylinder is

Options

1) 4πr 2

3) 3πr 2 4) πr 2 .

2) 2πr 2

Ans :3) 3πr 2

Question : Total area of solid hemisphere is

Options

1) 2 πrh

3) 2 πr 2 h 4) 2 πr ( r + h ).

2) πr 2 h

Ans :1) 2 πrh

Question :

The formula to find the curved surface area of a cylinder is

Options

1) 5 cm

3) 12 cm 4) 14 cm.

2) 10 cm

Ans :2) 10 cm

Question : The curved surface area of a cone is 440 sq.cm. If the slant height is 14 cm, then its radius is

Options

1) 3 : 1

3) 1:3 4) 2 : 1.

2) 2 : 1

Ans :3) 1:3

Question : The volumes of a cone and a cylinder with same height are equal. Then the ratio between their radii is

Options

1) lateral surface area of a cylinder3) volume of a cylinder

4) surface area of a sphere.

2) total surface area of a cylinder

Ans :2) total surface area of a cylinder

Question :

A = 2πr ( r + h ). This formula can be used to find

Options

11V = πr 2 h 3

3) V = 2πr 3 3

4) V = 3πr 3

4

2) V = 4πr 3

3

Ans :3) V = 2πr 3 3

Question : Volume of a hemisphere can be calculated by using the formula

Options

1) cone

3) hemisphere 4) sphere.

2) cylinder

Ans :4) sphere.

Question :

The solid described by revolution of a semicircle about a fixed diameter is

Options

1) 30 cm 3

3) 90 cm 3 4) 270 cm 3 .

2) 45 cm 3

Ans :4) 270 cm 3 .

Question : The volume of a cone is 90 cm 3 . The volume of a cylinder whose height and radius is same as that of the cone is

Options

1) 15400 sq.cm

3) 1540 sq.cm 4) 1550 sq.cm.

2) 154 sq.cm

Ans :2) 154 sq.cm

Question :

The volume of a cylinder is 1540 cm 3 . Its height is 10 cm. The area of its base is

Options

1) 2 πrh

3) πr ( r + h ) 4) 2 πr ( r + h )

2) 2 πr 2 ( r + h )

Ans :4) 2 πr ( r + h )

Question :

The formula used to find the total surface area of a solid cylinder is

Options

1) 0

3) 2 4) 3.

2) 1

Ans :2) 1

Question :

The number of plane surfaces in a solid cone is

Options

1) 8 : 27

3) 2 : 3 4) 3:2

2) 4 : 9

Ans :1) 8 : 27

Question : Ratio between the radii of two solid spheres is 2 : 3, then the ratio between their volumes is

Options

1) 6 cm

3) 12 cm 4) 18 cm.

2) 9 cm

Ans :2) 9 cm

Question : The volume of a solid cone is 60 cm3 and the area of the base is 20 cm2 . Then the height is

Options

1) 44 cm

3) 11 cm 4) 7 cm.

2) 22 cm

Ans :4) 7 cm.

Question : A metal sheet of length 2 m and breadth 44 cm is rolled to form a hollow pipe of length 2 m. Then the radius of that pipe is

Options

1) 2 πrh

3) sphere 4) cube

2) cylinder

Ans :1) 2 πrh

Question : The revolution of a right angled triangle about one of the sides containing the right angle generates a solid called

Options

1) 2 πrh

3) πrh 4) πrl .

2) 2 πr ( r + h )

Ans :1) 2 πrh

Question :

The lateral surface area of a cylinder is

Options

1) 516 cm 2

3) 88 cm 2 4) 616 cm 2

2) 416 cm 2

Ans :4) 616 cm 2

Question :

The surface area of a sphere whose radius is 7 cm, is

Options

1) πrl

3) 2 πrh 4) πr(r+l)

2) 2 πr ( r + h )

Ans :4) πr(r+l)

Question : Formula to find T.S.E of cone is ------------

Options

1)

3) 4)

2)

Ans :

Question : Relation between a cone and a cylinder with same radius and height isA) cone = cylinder B) 3 cone = cylinder C) cone =3 cylinder D) All the above

Options

1)

3) 4)

2)

Ans :

Question : The lateral surface area of a roller is 5sqm. Find the number of revolutions that it doesto cover a feild of 1000 sqmA) 100 B) 200 C) 50 D) 500

Options

1)

3) 4)

2)

Ans :

Question : Formula to find the volume of a hemisphere is ———A) 3 πr2h B) 4π r2h C) 4 π r3 D) 3π r3

4 3 3 4

Options

1)

3) 4)

2)

Ans :

Question : Total surface area of two identical solid hemispheres is 600cm2.The area of the sphere formed by them

isA) 600cm2 B) 400cm2 C) 300cm2 D) 200cm2

Options

1)

3) 4)

2)

Ans :

Question : Total surface area of a cylinder is ——-

Options

1)

3) 4)

2)

Ans :

Question : Height of a cylindrical ice cream cup is 4cm.If a cone of same radius is used ,then its height isA) 4/3 cm B) 2cm C) 8cm D) 12cm

Options

1)

3) 4)

2)

Ans :

Question : If the surface area of a sphere is 616 sq.cm then its diameter isA) 7cm B) 7.5cm C) 14cm D) 14.2cm

Options

1)

3) 4)

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