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Answer 1

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Answer 2

✯✯ QUESTION ✯✯

If the volume of a right circular cone of height 9cm is 48π cm³.,Find the diameter of its base..

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✰✰ ANSWER ✰✰

• Height of Cone = 9cm
• Volume of Cone = 48π cm³
• Diameter of Cone = ?

➥Using Formula : -

$\implies\tt{\large{\boxed{\bold{\bold{\pink{\sf{Volume\:of\:Cone=\dfrac{1}{3}\pi{{r}^{2}h}}}}}}}}$

➥Putting Values : -

$\implies\tt{48{\cancel{\pi}}=\dfrac{1}{3}{\cancel{\pi}}\times{{r}^{2}}\times{9}}$

$\implies\tt{48=\dfrac{1}{\cancel{3}}\times{{r}^{2}}\times{{\cancel{9}}}}$

$\implies\tt{48=3{r}^{2}}$

$\implies\tt{\cancel\dfrac{48}{3}={r}^{2}}$

$\implies\tt{16={r}^{2}}$

$\implies\tt\bold{r=16cm}$

➥Now ,

➮As we know that Diameter is double of Radius.So,

$\implies\tt{Diameter=2r}$

$\implies\tt{2(4)}$

$\implies\tt\bold{8cm}$

☛So , The Diameter of base is 8cm..