Q. 75.0( 2 Votes )

A circus tent consists of cylindrical base surmounted by a conical roof. The radius of the cylinder is 20 m. The height of the tent is 63 m and that of the cone is 21 m. Find the volume of the tent and the area of the canvas used for making it.

Answer :

Height of the tent = height of the cylinder + height of the cone.
Given, height of the cone (H) = 21 m 
height of cylindrical base(h) = 63 - 21 = 42 m 
Radius of the cylinder (r)= radius of the cone(r) = 20 m 
∴ Volume of the circus tent = Volume of the cylinder + volume of the cone. 
                                       =πr2h +   πr Η =  πr2 (h+)
                                       = x 400(42 + 7)
                                       = 61600 m3 
Slant height of the cone =  = 29 
Now, area of the canvas in making the tent
                  = curved surface area of the cylinder + Curved surface area of the cone
                  = 2πrh + πrl
                  = πr(2h + l)
                  = x 20(84 + 29)
                  = 7102.85 m2.

Rate this question :

How useful is this solution?
We strive to provide quality solutions. Please rate us to serve you better.
Related Videos
Surface Area and Volume of Right Circular Cylinders42 mins
Surface Area and Volume of Spheres40 mins
Surface Area and Volume of Right Circular Cone37 mins
Quiz | Surface Area & Volumes49 mins
RD Sharma | Surface areas and volumes of Cube & Cuboid33 mins
Surface Area of Right Circular Cylinder52 mins
Surface Area of Right Circular Cylinder49 mins
Surface Area of Cube and Cuboid49 mins
Matter and Its Classification34 mins
Speed and Velocity59 mins
Try our Mini CourseMaster Important Topics in 7 DaysLearn from IITians, NITians, Doctors & Academic Experts
Dedicated counsellor for each student
24X7 Doubt Resolution
Daily Report Card
Detailed Performance Evaluation
view all courses