Question

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If the volume of a right circular cone of height 9cm is 48π cm³ , Find the Diameter of its Base. ​

Answer 1

Answer:

If the volume of a right circular cone of height 9 cm is 48π cm3, find the diameter of its base. Let the radius of the base of the right circular cone be r cm. Hence, the diameter of the base of the right circular cone is 8 cm.

Answer 2

${\huge{\pink{\underline{\underline{\tt{\blue{Hey \: Mate!}}}}}}}$

Let the radius of the base of the right circular cone be r cm

h = 9cm

Volume = 48πcm³

$\dfrac{1}{3}$ πr²h = 48π

$\dfrac{1}{3}$r²h = 48

$\dfrac{1}{3}$ × r²h × 9 = 48

r² = $\dfrac{48×3}{9}$

r² = 16

r = √16

4cm

2r = 2(4) = 8cm

$\sf\orange{Hence, \: the \: diameter \: of \: the \: base \: of \: the \: right \: circular \: cone \: is \: 8cm}$

$\large\fbox\fcolorbox{red}{plum}{\color{navy}{Hope \: It \: Helps \: You}}$