Mathematics: What is the volume, in terms of cubic inches, of a cone with a diameter of 8 inches and a height of 10 inches? Use 3.14

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What is the volume, in terms of cubic inches, of

kenzieleigh7345

16.03.2022

Step-by-step explanation:

☄ $\underline{ \underline{ \text{Given}}} :$

Diameter ( d ) = 8 inches Radius ( r ) = $\sf{ \frac{d}{2} = \frac{8}{2} = 4 \: inches}$ Height ( h ) = 10 inches pi ( π ) = 3.14

☄ $\underline{ \underline{ \text{To \: find}}} :$

Volume of a cone

☄ $\underline{ \underline{ \text{Solution}}} :$

$\sf{Volume \: of \: a \: cone \: ( \: V \: ) = \pi \: {r}^{2} \frac{h}{3}}$

Plug the known values :

⟼ $\sf{3.14 \times {4}^{2} \times \frac{10}{3}}$

⟼ $\sf{3.14 \times 16 \times \frac{10}{3}}$

⟼ $\sf{167.47 \: {inches}^{3}}$

$\red{ \boxed{ \boxed{ \tt{⟿ \:Our \: final \: answer : \boxed{ \tt{167.47 \: {inches}^{3} }}}}}}$

Hope I helped ! ♡

Have a wonderful day / night !

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