Question

There are 15 conical heaps of wheat, each of them having diameter 70 cm and height 24 cm, in the farm of Ramjibhai. To stock the wheat in a cylindrical container of the same radius, what should be its height ?

Answer 1

Answer:

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Answer 2

Answer:

Height of Cylinder tank is 120 cm.

Step-by-step explanation:

Volume of cone

$V = \frac{1}{3} \pi {r}^{2} h$

Given that

Diameter= 70 cm

Radius, r= 35 cm

Height, h= 24 cm

$v = \frac{1}{3} \times \frac{22}{7} \times 35 \times 35 \times 24 \\ \\ = 22 \times 5 \times 35 \times 8 \\ \\ = 30800 \: {cm}^{3 }$

Volume of 15 conical heap of wheat

$= 15 \times 30800 \\ \\ = 462000 \: {cm}^{3}$

To stock the wheat in a cylindrical container of the same radius, what should be its height, let the height is h

Since volume of wheat is equal,

Volume of Cylinder

$\pi {r}^{2} h = 462000 \\ \\ h = \frac{462000 \times 7}{22 \times 35 \times 35} \\ \\ h = 120 \: cm$

Height of Cylinder tank is 120 cm.

Hope it helps you.