Question

What is the volume of the cone to the nearest whole number?
20,520pi cm3
43,320pi cm3
86,640pi cm3
136,094pi cm3

Answer 1

C. 86,640pi cm3


Hope this helps

Answer 2

$\large\begin{gathered} {\underline{\boxed{ \rm {\red{Volume \: of \: Cone \: = \: \pi \: {r}^{2} \: \frac{h}{3} }}}}}\end{gathered}$

• r represents radius of cone

• h represents height of cone

• height of cone is 90 cm

• radius of cone is diameter / 2

‌ ⇛76/2 = 38

‌ ⇛radius = 38 cm

Solution

$\bf \Large \longrightarrow \:π \: × \: (38 \: cm)² \: × \: \frac{90 }{3}$

$\bf \Large \longrightarrow \: \pi \: \times \: \:1444 \: {cm}^{2} \: \times \: \cancel\frac{90}{3} \: \: ^{30 \: cm}$

⇥ 43,320 π cm³

Option ( B ) is the correct answer