MEDIUM
10th CBSE
IMPORTANT
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What is the ratio of the volumes of a cylinder, a cone, and a sphere, if each has the same diameter and same height?

Important Questions on Surface Areas and Volumes

EASY
10th CBSE
IMPORTANT
MATHEMATICS CLASS X>Chapter 14 - Surface Areas and Volumes>VERY SHORT ANSWER TYPE QUESTIONS (VSAQs)>Q 12
A sphere of maximum volume is cut-out from a solid hemisphere of radius r, what is the ratio of the volume of the hemisphere to that of the cut-out sphere?
EASY
10th CBSE
IMPORTANT
MATHEMATICS CLASS X>Chapter 14 - Surface Areas and Volumes>VERY SHORT ANSWER TYPE QUESTIONS (VSAQs)>Q 13
A metallic hemisphere is melted and recast in the shape of a cone with the same base radius R as that of the hemisphere. If H is the height of the cone, then write the value of HR .
MEDIUM
10th CBSE
IMPORTANT
MATHEMATICS CLASS X>Chapter 14 - Surface Areas and Volumes>VERY SHORT ANSWER TYPE QUESTIONS (VSAQs)>Q 14
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.
EASY
10th CBSE
IMPORTANT
MATHEMATICS CLASS X>Chapter 14 - Surface Areas and Volumes>VERY SHORT ANSWER TYPE QUESTIONS (VSAQs)>Q 15
A cylinder, a cone and a hemisphere are of equal base and have the same height. What is the ratio of their volumes?
EASY
10th CBSE
IMPORTANT
MATHEMATICS CLASS X>Chapter 14 - Surface Areas and Volumes>VERY SHORT ANSWER TYPE QUESTIONS (VSAQs)>Q 16
The radii of two cones are in the ratio 2:1 and their volumes are equal. What is the ratio of their heights?
EASY
10th CBSE
IMPORTANT
MATHEMATICS CLASS X>Chapter 14 - Surface Areas and Volumes>VERY SHORT ANSWER TYPE QUESTIONS (VSAQs)>Q 17
Two cones have their heights in the ratio 1:3 and radii 3:1. What is the ratio of their volumes?
MEDIUM
10th CBSE
IMPORTANT
MATHEMATICS CLASS X>Chapter 14 - Surface Areas and Volumes>VERY SHORT ANSWER TYPE QUESTIONS (VSAQs)>Q 18
A hemisphere and a cone have equal bases. If their heights are also equal, then what is the ratio of their curved surfaces ?
EASY
10th CBSE
IMPORTANT
MATHEMATICS CLASS X>Chapter 14 - Surface Areas and Volumes>VERY SHORT ANSWER TYPE QUESTIONS (VSAQs)>Q 19
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.