Application of TSA of Cylinder

​Application of TSA of Cylinder

​Practice Work

​Enable

1. Calculate the cost required to paint a container which is in the shape of a right circular cylinder having a base radius of 7 m and a height of 13 m. If the painting cost of the container is Rs 25/m². (Take π = 22/7)​

​Engage

1. Find the height of a cylinder whose radius is 7 cm and the total surface area is 968 sq.cm.​

2. The cylinder given has a surface area of 972 π cm². Find x.​

​Empower

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1. A cylindrical container is to be made of tin. The height of the container is 1 m and the diameter of the base is 1 m. If the container is open at the top and tin sheet costs Rs 308 per sq.m, what will be the cost of tin for making the container?

Multiple Choice

If the height of a cylinder becomes 1/4 of the original height and the radius is doubled, then which of the following will be true?

• CSA of the cylinder will be doubled.

• CSA of the cylinder will remain unchanged.

• CSA of the cylinder will be halved.

• CSA will be 1/4 of the original curved surface.

Multiple Choice

Two cylinders A and B are formed by folding a rectangular sheet of dimensions 20 cm × 10 cm along its length and also along its breadth respectively. Then the curved surface area of A is ________ (of/to) curved surface area of B.

• twice

• equal

• half

• thrice

Multiple Choice

Curved surface area of a cylinder having base radius “r” and height “h” is

• $$2\pi r\left(r+h\right)$$  

• $$2\pi r^2$$  

• $$2\pi rh$$  

• $$2\pi r^2h$$  

​Extra Questions

1.The radius of the base of a right circular cylinder is increased by 75% and the height is decreased by 50%. Find the per cent increase or decrease in the curved surface area.