Question

a heap of wheat is in the form of a cone of diameter 10.5m and h is 3m find its volume if cost of 1 mcube wheat is 10 then find total cost also find slant height of heap

Answer 1

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Answer 2

Answer:

Volume of heap of wheat is 86.54 cubic meters.

The total cost is Rs. 865.4

Slant height is 6.04 m

Step-by-step explanation:

Diameter of cone = 10.5 m

$Radius = \frac{Diameter}{2}$

$Radius = \frac{10.5}{2}$

$Radius = 5.25$

Height of cone h = 3m

Formula of volume of cone = $\frac{1}{3}\pi r^{2} h$

So, volume of heap of wheat =  $\frac{1}{3}\times 3.14\times 5.25^{2}\times 3$

                                                =  $86.54 m^3$

Volume of heap of wheat is 86.54 cubic meters.

Now,  cost of 1 cubic meter  wheat is 10

So, cost of 86.54 cubic meters wheat = 86.54*10 = Rs. 865.4

Thus the total cost is Rs. 865.4

Formula of slant height : $l=\sqrt{h^2+r^2$

$l=\sqrt{3^2+5.25^2}$

$l=6.04$

Thus the slant height is 6.04 m