Math, asked by shivananda99, 1 year ago

the radii of two circular ends of the frustum of cone shaped dustbin are 15 cm and 8 cm if its depth depth is 63 cm find the volume of the dustbin ​

Answers

Answered by palakhkoyalkar06
35

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Answered by throwdolbeau
19

Answer:

The volume of dustbin = 26994 cm³

Step-by-step explanation:

The radius of the upper circular end of frustum of cone, R = 15 cm

The radius of the lower circular end of frustum of cone, r = 8 cm

The depth or the height of the dustbin, h = 63 cm

Now, the volume of the dustbin can be calculated by using the formula for volume of frustum of cone.

Volume of frustum of cone is given by :

Volume = \frac{1}{3}\pi\cdot h(R^2+Rr+r^2)

\implies\text{Volume of the dustbin = }\frac{1}{3}\times \frac{22}{7}\times 63\times (15^2+120+8^2)\\\\\implies\text{Volume of the dustbin = }66\times (225+120+64)\\\\\implies\text{Volume of the dustbin = }66\times 409

Hence, The volume of dustbin = 26994 cm³

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