Question

If the area of circular bases of a frustum obtained fro a cone is 4cm^2 and 16cm^2 and if 15cm

Answer 1

HEYY

Answer:

Volume of frustum = 2.08 cm³

Step-by-step explanation:

The ares of the circular bases of a frustum of a cone are 4 cm² and 9 cm²

So, let the radius of the upper base be 'R' and radius of the lower base be 'r'.

Now, Area of upper circular base = π·R²

⇒ 9 = π·R²

⇒ R = 1.69 cm

Area of lower circular base = π·r²

⇒ 4 = π·r²

⇒ r = 1.13 cm

r = 1.13 cm and R = 1.69 cm and height (h) = 12 cm

Now, we know that slant height of frustum, l = √h²+(R - r)²  where h is the height of the frustum.

l = √h²+(1.69 - 1.13)²

l² = 12² + 0.31

l² = 144 + 0.31

l² = 144.31

l = 12.01 cm

Hence, Volume of frustum = 2.08 cm³..

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