Adaptive Practice

Surface Areas and Volumes

10 questions • Earn up to 110 XP • First attempt — go for 100%!

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Question 1 of 10 ⏱ 0:30
Easy
The radius of a sphere is 7 cm. What is its surface area? (Use π = 22/7)
Easy
A cylinder has a radius of 5 cm and height of 10 cm. Find its curved surface area.
Medium
A cube has a volume of 27,000 cm³. What is the total surface area of the cube?
Medium
The height of a cone is 24 cm and the radius of its base is 7 cm. Find its slant height.
Easy
A hemispherical bowl has a radius of 14 cm. Find its curved surface area.
Medium
The total surface area of a sphere is 154 cm². Find its radius. (Use π = 22/7)
Hard
A metallic sphere of radius 6 cm is melted and recast into smaller spheres each of radius 2 cm. How many smaller spheres are formed?
Hard
The radius and height of a cylinder are in the ratio 3:4, and its volume is 3456 cm³. Find the radius and height.
Medium
Find the total surface area of a right circular cone with radius 10 cm and slant height 15 cm.
Hard
A cuboid has dimensions 10 cm × 8 cm × 6 cm. A cube is cut out from it such that the volume of the cube is maximum. Find the surface area of the remaining solid.

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