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Solution for A Heap of Wheat is in the Form of a Cone of Diameter 9 M and Height 3.5 M. Find Its Volume. How Much Canvas Cloth is Required to Just Cover the Heap? (Use 𝜋 = 3.14). - CBSE Class 9 - Mathematics

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Question

A heap of wheat is in the form of a cone of diameter 9 m and height 3.5 m. Find its volume. How much canvas cloth is required to just cover the heap? (Use 𝜋 = 3.14). 

Solution

Diameter of heap d =9m 

Radius` =9/2m=4.5 m ` 

Height (h)=3.5m  

Volume of heap =`1/3pir^2h` 

=`1/3[3.14xx(4.5)^2xx3.5]m^3` 

=`74.18m^3` 

Slant height l`=sqrt(r^2+h^2)=sqrt((4.5)^2+(3.5)^2)` 

= 5.70m. 

Area of canvas required= CSA of cone 

=` pirl` 

=` 3.14xx4.5xx5.7m^2` 

= `80.54m^2`

 

  Is there an error in this question or solution?

APPEARS IN

 RD Sharma Solution for Mathematics for Class 9 by R D Sharma (2018-19 Session) (2018 to Current)
Chapter 20: Surface Areas and Volume of A Right Circular Cone
Q: 9 | Page no. 21
Solution A Heap of Wheat is in the Form of a Cone of Diameter 9 M and Height 3.5 M. Find Its Volume. How Much Canvas Cloth is Required to Just Cover the Heap? (Use 𝜋 = 3.14). Concept: Surface Area of a Right Circular Cone.
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