CBSE Class 10-Mathematics: Chapter – 13 Surface Areas and Volumes Part 24 (For CBSE, ICSE, IAS, NET, NRA 2022)

Doorsteptutor material for CBSE is prepared by world's top subject experts: fully solved questions with step-by-step explanation- practice your way to success.

Question 2:

A tent is in the shape of a cylinder surmounted buys a conical top. If the height and diameter of the cylindrical part are and respectively and the slant height of the top is , 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 . (Note that the base of the tent will not be covered with canvas.)

Diameter of the Cylinder Part

Answer:

Diameter of the cylindrical part

Radius of the cylindrical part

TSA of the tent of the cylindrical part of conical cap

Cost of the canvas of the tent at the rate of

Question 3:

From a solid cylinder whose height is and diameter , 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 .

Diameter of the Solid Cylinder
Diameter of the Solid Cylinder

Answer:

Diameter of the solid cylinder

Radius of the solid cylinder

Radius of the base of the conical cavity

Height of the solid cylinder

Height of the conical cavity

Slant height of the conical cavity

TSA of remaining solid

Question 4:

A wooden article was made by scooping out a hemisphere from each end of a solid cylinder as shown in figure. If the height of the cylinder is and its base is of radius , find the total surface area of the article.

A Wooden Article Was Made by Scooping

Answer:

TSA of the article