Question

if volume of a right circular cone of height 9cm is 48pi cm2 find the diamet er of its base.



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Answer 1

Answer:

diameter is 8cm

Step-by-step explanation:

h = 9cm

V = 48pi cm2

V= 1/3*pi*r2*h

48pi = 1/3*pi*r2*9

48*3 = 9r2

48/3 = r2

16 = r2

r = 4cm

therefore d = 2r = 2*4 = 8cm

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

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

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