EASY
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What is CSA of sphere?

Important Questions on Mensuration

MEDIUM
The diameter of a road roller of length 120 cm is 84 cm. If it takes 500 complete revolutions to level a playground, then find the cost of levelling it at the cost of 75 paise per m2 in . (Take π=227)
EASY

Find the total surface area of a hollow hemisphere whose outer and inner radii are 4.2 cm and 2.1cm respectively

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A solid right circular cylinder has radius 7 cm and height 20 cm. Find the total surface area in cm2π=227
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A sector containing an angle of 120 is cut off from a circle of radius 21 cm and folded into a cone. Find the curved surface area of cone. Take π=227  

EASY
If the total surface area of a solid right circular cylinder is 200π cm2 and its radius is 5 cm, then the sum of its height and radius is
MEDIUM
The diameter of the moon is approximately one fourth of the diameter of the earth. Find the ratio of surface areas of moon to earth. Use π=227
EASY
If r1and r2 denote the radii of the circular bases of the frustum of a cone such that r1>r2, then write the ratio of the height of the cone of which the frustum is a part to the height of the frustum.
MEDIUM

If the surface area of a sphere of diameter 14 cm is k cm2, then find the value of k. Use π=227

MEDIUM

A right circular cylinder just encloses a sphere of radius r. The surface area of the sphere is Kπr2. Find K.

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MEDIUM
 A drinking glass is in the shape of a frustum of a cone of height 14 cm. The diameters of its two circular ends are 4 cm and 2 cm. Find the capacity of the glass.
EASY
The radii of two cylinders are in the ratio 3:5 and their heights are in the ratio 2:3. What is the ratio of their curved surface areas?
MEDIUM

Find the surface area and volume of the sphere with radii 4 cm.  (π=3.14)

EASY
The weight of a solid metal sphere of the radius 4 cm is 4 kg. The weight of a hollow sphere made with the same metal, whose outer diameter is 16 cm and inner diameter is 12 cm, is:
EASY
The slant height of the frustum of a cone is 5 cm. If the difference between the radii of its two circular ends is 4 cm, write the height of the frustum.
MEDIUM

Assume π=227.  The diameter of a sphere is 21 cm. If the surface area of the sphere is k cm2, then write the value of k as final answer.

MEDIUM
A right circular cone and a right circular cylinder have equal base and equal height. If the radius of the base and height are in the ratio 5:12, write the ratio of the total surface area of the cylinder to that of the cone.
MEDIUM

Match the following:

Volume of a cone 2πrh
Volume of a frustum 3πr2
Total surface area of a cone 23πr3
Total surface area of a hemisphere lbh
Volume of a cuboid πrl
Lateral surface area of cylinder 2πrr+h
Surface area of a sphere 13πr2h
Volume of hemisphere πrr+l
Curved surface area of cone 4πr2
Total surface area of a cylinder 13πhR2+r2+Rr

 

 

EASY

The surface area of a sphere is 616 cm2. Find its radius. (Take π=22/7)

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If two solid hemispheres of the same base radius r are joined together along their bases, then the curved surface area of this new solid is
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The shape of a glass (tumbler) is usually in the form of