Question

Find the height of a cone with a volume of 150in3 and a diameter of 20in

Answer 1

Volume = PI x r^2 x H/3

fill in the known information:

 150 = 3.14 x 10^2 x H/3

150 = 3.14 x 100 x h/3

150 = 314 x h/3

314h = 150x3
314h = 450

h = 450/314

h = 1.433    ( round answer as needed )

Answer 2

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Formula:
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$\text {Volume of the cone = } \dfrac{1}{3} \pi r^2h$

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Find Radius
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Radius = Diameter ÷ 2 
Radius = 20 ÷ 2
Radius = 10

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Find Height:
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$150 = \dfrac{1}{3} \pi (10)^2h$

$150 \times 3 = \pi (10)^2h$

$450= \pi (10)^2h$

$h = 450 \div 100\pi$

$h = 1.43 \ in \text { (Nearest hundredth)}$