Question

Question 7

A cone has a volume of 769.3ft³. If the height of the cone is 15ft what is the radius of the cone's base?

Radius:
ft
(Use ≈ 3.14)

Answer 1

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• Given - a cone with volume 769?3 ft³ , having a height of 15 ft

• To calculate - radius of the cone

We know that ,

`\bold{Volume \: of \: cone = (1)/(3)\pi \: r {}^(2) h }\\`

substituting the values in the formula stated above ,

`\bold{769.3 = (1)/(3) * 3.14 * r {}^(2) * 15} \\ \\\bold{\implies r {}^(2) = (769.3 * 3)/(3.14 * 15) } \\ \\\bold{\implies r {}^(2) = \cancel(2307.9)/(47.1)} \\ \\\bold{ \implies \: r {}^(2) = 49} \\ \\ \bold{\implies \: r = 7 \: ft}`

therefore ,

radius = 7 cm

hope helpful ~