PRACTICE QUESTIONS ON CURVED SURFACE AREA

Problem 1 :

A solid right circular cylinder has radius of 14 cm and height of 8 cm. Find its CSA.  

Solution

Problem 2 :

Curved surface area and circumference at the base of a solid right circular cylinder are 4400 sq.cm and 110 cm respectively. Find its height and diameter.

Solution

Problem 3 :

A mansion has 12 right cylindrical pillars each having radius 50 cm and height 3.5 m. Find the cost to paint the curved surface of pillars at $ 20 per square meter.

Solution

Problem 4 :

The total surface area of a solid right circular cylinder are 231 cm². Its curved surface area is two thirds of the total surface area. Find the curved surface area if cylinder.

Solution

Problem 5 :

The total surface area of a solid right circular cylinder is 1540 cm². If the height is four times the radius of the base, then find the CSA of cylinder.

Solution

Problem 6 :

The external surface area of a hollow cylinder is 540Π cm².Its internal diameter is 16 cm and height is 15 cm. Find the curved surface area.

Solution

Problem 7 :

The external diameter of the cylindrical shaped iron pipe is 25 cm and its length is 20 cm. If the thickness of the pipe is 1 cm, find the curved surface area of the pipe.

Solution

Problem 8 :

The radii of two right circular cylinders are in the ratio 3:2 and their heights are in the ratio 5:3. Find the ratio of their curved surface areas.

Solution

Problem 9 :

The diameter of the road roller of length 120 cm is 84 cm. If it takes 500 complete revolutions to level play ground, then find the cost of leveling it at the cost of $ 1.5 per square meter.

Solution

Problem 10 :

The internal and external radii of of a hollow cylinder are 12 cm and 18 cm respectively. If its height is 14 cm, then find its curved surface area.

Solution

Problem 11 :

If the vertical angle and the radius of the right circular cone are 60 degree and 15 cm respectively, then find its slant height and curved surface area.

Solution

Problem 12 :

If the circumference of the base of the solid right circular cone is 236 and its slant height is 12 cm, find its curved surface area.

Solution

Problem 13 :

A heap of paddy is in the form of a cone whose diameter is 4.2 m and height is 2.8 m. If the heap is to be covered exactly by a canvas to protect it from rain, then find the area of the canvas needed.

Solution

Problem 14 :

The central angle and radius of a sector of a circular disc are 180 degree and 21 cm respectively. If the edges of the sector are joined together to make a hollow cone, then find the radius of the cone.

Solution

Problem 15 :

Radius and slant height of a solid right circular cone are in the ratio 3:5. If the curved surface area is 60Π cm², then find its radius and slant height.

Solution

Problem 16 :

A sector containing an angle of 120 degree is cut off from a circle of radius 21 cm and folded into a cone. Find the curved surface area of a cone.

Solution

Problem 17 :

If the curved surface area of solid sphere is 98.56 cm², then find the radius of the sphere.

Solution

Problem 18 :

If the curved surface area of the solid hemisphere is 2772 sq.cm, then find its total surface area.

Solution

Problem 19 :

Radii of two solid hemispheres are in the ratio 3:5. Find the ratio of their curved surface areas and the ratio of their total surface areas.

Solution

Problem 20 :

A hemispherical bowl has a radius of 15 cm. If it is filled completely with water and covered with a lid,

(a) find the volume of the water

(b) find the surface area of the bowl (including the lid). Give your answers to 3 significant figures.

Take π = 3.142

Solution

Problem 21 :

A Puffer fish is able to “puff up” when threatened by gulping water and inflating its body. The puffer fish is approximately a sphere with a diameter of 5 inches. Its surface area when inflated is about 1.5 times its normal surface area.

What is the surface area of the fish when it is not puffed up?

Solution

Problem 22 :

A sphere has radius 4.5 cm. Find the volume and surface area of the sphere. Give your answers to 3 significant figures.

Take π = 3.142

Solution

Problem 23 :

Basketballs used in professional games must have a circumference of 29 1/2 inches. What is the surface area of a basketball used in a professional game?

Solution

Problem 24 :

A bowl has the form of a hollow hemisphere of radius 8.4 cm. Find the external surface area and the volume of the bowl. Give your answers to 0 significant figures. Take π = 3.142

Solution

Problem 25 :

Find the radius of an opened hemisphere whose surface area is 1762 cm² Give your answers to 3 significant figures. Take π = 3.142

Solution

Problem 26 :

A sphere has radius 12.6 cm. Find the volume and surface area. Give your answers to 3 significant figures. Take π = 3.142

Solution

Kindly mail your feedback to v4formath@gmail.com

We always appreciate your feedback.