Question

A mound of rice is roughly in the shape of a cone of height 12 cm and the base diameter 30 cm. Use the value of 3 for π to find the volume of rice.

Answer 1

Answer:

ANSWER

⇒  Here, d=12m. So, r=  

2

12

​  

=6m and h=8m

⇒  Required volume =  

3

1

​  

×πr  

2

h

                                   =  

3

1

​  

×  

7

22

​  

×6×6×8

                                   =301.71m  

3

 

⇒  Let l be the slant height of cone

∴  l  

2

=r  

2

+h  

2

 

∴  l  

2

=(6)  

2

+(8)  

2

 

∴  l  

2

=36+64

∴  l  

2

=100

∴  l=10m

⇒  To cover a heap we need curve surface area of cone.

⇒  Curve surface area =πrl

                                      =  

7

22

​  

×6×10

                                      =188.57m  

2

 

⇒  Required volume is 301.71m  

3

 and Canvas cloth required to cover heap is 188.57m  

2

Step-by-step explanation:

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