Surface Area

If the surface area of a sphere is 4πr², and it is cut into four equal parts through the center, find the total surface area of all four parts.

A cone and a hemisphere have equal bases and equal volumes. Find the ratio of their heights.

The lateral surface area of a cylinder is 94.2 sq. cm and its height is 5 cm. Find the radius of its base. (Use π = 3.14)

A cylindrical tank has a capacity of 6160 cubic m. If its depth is 10 m, find the cost of painting its inner curved surface at Rs. 2.50 per sq. m.

Find the TSA of a right prism with height 10 cm and base a right triangle with legs 3 cm and 4 cm.

If the volume of a sphere is 4851 cubic cm, its surface area is:

A conical flask has a base radius r and height h. It is filled with liquid which is then poured into a cylindrical flask of base radius mr. Find the height of the liquid in the cylinder.

Find the ratio of the surface area of a cube to that of a sphere of the same volume.

A solid consists of a cylinder with a cone on top and a hemisphere at the bottom. The radius is 7 cm. Height of cylinder is 10 cm and cone is 4 cm. Find the total surface area.

The length of a rectangular box is 2 units more than the width and the width is 3 units more than the height. If the total surface area is 112, find the height.

A river 3m deep and 40m wide is flowing at the rate of 2 km/hr. How much water falls into the sea in a minute?

The diameter of a copper sphere is 18 cm. It is drawn into a wire of diameter 4 mm. Find the length of the wire.

The ratio of total surface area to curved surface area of a cone with radius r and slant height l is:

Find the area of the smallest square that can contain a circle of area 154 sq. cm.

A cylindrical pipe has inner diameter 4 cm and outer diameter 4.4 cm. Length is 10 cm. Find the total surface area.

How many times does the surface area of a sphere increase if its radius is tripled?

What is the total surface area of a frustum of a cone with radii 4 cm and 2 cm and height 4 cm?

A solid cube is cut into two equal halves by a plane parallel to one of its faces. Find the ratio of the total surface area of one half to the original cube.

The base of a right pyramid is a square of side 10 cm. If its volume is 400 cubic cm, find its total surface area.

Find the surface area of a sphere that just fits inside a cylinder of radius 'r' and height '2r'.