Question

A cone has a height of 8 units and a total volume of 66.66pi units cubed. What is the radius?
Please only type in the correct answer if you know how to do it!!!

Answer 1

Given

• Height of Cone = 8 units
• Volume of Cone= 66.66π units

To Find

• Radius of Cone

We know that

$\boxed{ \bf{Volume~ of~ Cone = πr²\dfrac{h}{3}}}$

• Putting the given value in formula we get

${~~~~~~:~~\implies \sf66.66\pi = \pi \times {r}^{2} \times \dfrac{8}{3} }$

${~~~~~~:~~\implies \sf66.66 \cancel{\pi }= \cancel{\pi } \times {r}^{2} \times \dfrac{8}{3} }$

${~~~~~~:~~\implies \sf {r}^{2} = \dfrac{66.66 \times 3}{8} }$

${~~~~~~:~~\implies \sf {r}^{2} ≈ \cancel{\dfrac{ \: \: 200 \: \: \: }{ \: 8 \: \: \: } }}$

${~~~~~~:~~\implies \sf {r}^{2} ≈ 25 }$

${~~~~~~:~~\implies \sf r = \sqrt{25} }$

${~~~~~~:~~\implies \sf r = 5 }$

Hance The Radius of Cone is 5 unit's.

Figure

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