Adaptive Practice
Surface Areas and Volumes
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Question 1 of 10
⏱ 0:30
Easy
The radius of a sphere is 7 cm. What is the surface area of the sphere? (Use \(\pi = \frac{22}{7}\))
Easy
A cuboid has length 10 cm, breadth 5 cm, and height 8 cm. What is its total surface area?
Easy
The height of a right circular cone is 24 cm and the radius of its base is 7 cm. Find the slant height of the cone.
Medium
A cylinder has radius 14 cm and height 20 cm. Find its curved surface area.
Medium
The volume of a cube is 27,000 cm³. Find the surface area of the cube.
Hard
A sphere and a cube have the same surface area of 600 cm². Find the radius of the sphere if the cube's side is 5 cm.
Medium
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 height of a cone is increased by 20% and the radius is decreased by 10%. Find the approximate percentage change in the volume of the cone.
Hard
A hemisphere and a right circular cone have the same radius 7 cm and the same height 24 cm. Find the ratio of their volumes (Hemisphere : Cone).
Hard
A right circular cylinder and a right circular cone have equal volumes. If the height of the cone is equal to the height of the cylinder, find the ratio of their radii (radius of cone : radius of cylinder).