Question

if the volume of a right circular cone of height 9cm is 4817cm3,find the diameter of its base.

Answer 1

I think soo I too don't know

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

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

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