A toy is in the form of a cone of radius 3.5 cm mounted on a hemisphere of same radius. The total height of the toy is 15.5 cm. Find the total surface area of the toy.

A cylindrical bucket, 32 cm high and with radius of base 18 cm, is filled with sand. This bucket is emptied out on the ground and a conical heap of sand is formed. If the height of the conical heap is 24 cm, find the radius and slant height of the heap.

The length of the diagonal of a cube is 6 √ 3 cm. Its total surface area is

The diameter of a cylinder is 28 cm and its height is 20 cm. The total surface area of the cylinder is

The curved surface area of a cylinder is 1760 cm² and its base radius is 14 cm. The height of the cylinder is

The area of the base of a right circular cone is 154 cm² and its height is 14cm. Its curved surface area is

The radius of the base of a cone is 5 cm and its height is 12 cm. Its curved surface area is

A circus tent is cylindrical to a height of 4 m and conical above it. If its diameter is 105 m and its slant height is 40 m, the total area of canvas required is

The volume of a hemisphere is 19404 cm³. The total surface area of the hemisphere is

Each question consists of two statements, namely, Assertion (A) and Reason (R). For selecting the correct answer, use the following code:

Assertion (A): If the volumes of two sphere are in the ratio 27:8 then their surface areas are in the ratio 3:2

Reason (R): Volume of a sphere .

Surface area of a sphere = 4πR².

Each question consists of two statements, namely, Assertion (A) and Reason (R). For selecting the correct answer, use the following code:

Assertion (A): A hemisphere of radius 7 cm is to be painted outside on the surface. The total cost of painting at Rs 5 per cm² is Rs 2300.

Reason (R): The total surface area of a hemisphere is 3πr².