Question Bank
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What is the area of a circular sheet required to cover the base of a cone with radius 14 cm?
A cube has a side of length 's'. If the side is halved, what is the new total surface area?
The lateral surface area of a right circular cylinder is 176 sq. cm and its base radius is 4 cm. Find its height.
Find the total surface area of a right circular cone whose radius is 7 cm and slant height is 13 cm.
The surface area of a sphere is proportional to...
Find the area of a metal sheet required to make a hollow pipe of length 1m and radius 7cm.
A cube with side 1 cm is joined with another identical cube. What is the total surface area of the resulting shape?
The total surface area of a hemisphere is 462 sq. cm. Find its radius.
What is the ratio of the surface areas of two spheres if their radii are in the ratio 2:3?
The radii of two cylinders are in the ratio 2:3 and their heights are in the ratio 5:3. Find the ratio of their curved surface areas.
A rectangular reservoir is 6m long and 3m wide. At what speed per hour must water flow into it through a square pipe of 20cm side so that the water level rises by 2m in 5 hours?
The curved surface area of a right circular cone is 12320 sq. cm. If the radius of its base is 56 cm, find its slant height.
Find the total surface area of a solid hemisphere of diameter 2r.
A cube of lead with edge 6 cm is melted and formed into 27 equal cubes. Find the surface area of one small cube.
A right circular cylinder and a cone have equal bases and equal heights. Find the ratio of their curved surface areas if their height is √3 times the radius.
The surface area of a sphere is reduced by 75%. By what percentage did the radius decrease?
A cylinder of height 10 cm and radius 6 cm is melted to form a sphere. What is the surface area of the sphere?
The total surface area of a right circular cone is 90π sq. cm. If its radius is 5 cm, find its slant height.
If the length, breadth, and height of a cuboid are in the ratio 3:2:1 and its total surface area is 792 sq. cm, find its dimensions.