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) \: (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 \: × \: (90 )/(3)`

`\bf \Large \longrightarrow \: \pi \: * \: \:1444 \: {cm}^(2) \: * \: \cancel(90)/(3) \: \: ^(30 \: cm)`

⇥ 43,320 π cm³

Option ( B ) is the correct answer