Surface Areas and Volumes questions for CBSE X

A capsule has radius 0.25 cm and consists of a cylinder with a hemisphere at each end. Overall length=2 cm. Find its total surface area using π=3.14.

A cone of radius 21 cm and height 28 cm stands on a hemisphere of the same radius. Find exposed surface area using π=22/7.

A toy’s total painted area is259.05 cm². Find painting cost at3 paise per cm²,to the nearest paise.

A cylinder has radius 80 cm and height 20 cm. Find total surface area:lateral surface area.

A cube is split into two equal-volume cuboids by a plane parallel to a face. Find cube total surface area:one cuboid total surface area.

A wooden toy is a cone mounted on a cylinder. Total height is 26 cm; cone height is 6 cm. Cone diameter is 5 cm and cylinder diameter 3 cm. All exposed surfaces, including the bottom but excluding the glued interface, are painted. Use π=3.14. Find the exposed area of the conical part.

A cylindrical bird-bath has height 1.45 m and radius 0.30 m, with a hemispherical hollow of the same radius at its top. Find the exposed curved area (outer cylinder plus inner hollow), excluding the bottom. Use π=22/7.

A floorless tent has cylindrical height 2.1 m, diameter 4 m and conical slant height 2.8 m. Find the canvas area using π=22/7.