Surface of a Cylinder

Surface Area And Volume

by Ajay Prasad

​Exercise 13.1

​Q.No. 7 A tent is in the shape of a cylinder surmounted by a conical top. If the height and diameter of the cylindrical part are 2.1 m and 4 m respectively, and the slant height of the top is 2.8 m, find the area of the canvas used for making the tent. Also, find the cost of the canvas of the tent at the rate of Rs 500 per m² . (Note that the base of the tent will not be covered with canvas.)

Open Ended

What should be done to calculate TSA of Tent

Multiple Choice

Curved Surface Area of Cylinder =

• $$\pi r^2h$$  

• $$2\pi r^2h$$  

• $$2\pi rh$$  

• $$2\pi r\left(r\ +\ h\right)$$  

Multiple Choice

Curved Surface Area of Cone =

• $$\pi r^2l$$  

• $$\pi rl$$  

• $$\pi r\left(r\ +\ l\right)$$  

• $$\pi rh$$  

​​Exercise 13.1

​Exercise 13.1

​Q. No. 8 From a solid cylinder whose height is 2.4 cm and diameter 1.4 cm, a conical cavity of the same height and same diameter is hollowed out. Find the total surface area of the remaining solid to the nearest cm² .

Open Ended

What should be done to calculate TSA of Tent

​Exercise 13.1

​Exercise 13.1

​Q,No. 9 A wooden article was made by scooping out a hemisphere from each end of a solid cylinder, as shown in Fig. If the height of the cylinder is 10 cm, and its base is of radius 3.5 cm, find the total surface area of the article.

Open Ended

What should be done to calculate TSA of Tent

Multiple Choice

Curved Surface Area of Hemisphere

• $$\pi r^2$$  

• $$2\pi r^2$$  

• $$3\pi r^2$$  

• $$4\pi r^2$$  

​Exercise 13.1

​Exercise 13.2