Question

HELP HELP! I NEED URGENT HELP WITH THIS equashin.

Answer 1

`\large\begin{gathered} {\underline{\boxed{ \rm {\red{Volume \: of \: Cone \: = \: \pi \: {r}^(2) \: (h)/(3) }}}}}\end{gathered}`

`\bf{\red{ \longrightarrow}} \tt \: r \: = \: (Diameter)/(2) \\`

`\bf{\red{ \longrightarrow}} \tt \: r \: = \: (16 \: yd)/(2) \\`

`\bf{\red{ \longrightarrow}} \tt \: r \: = \: \frac{ \cancel{16 \: yd} \: \: ^(8) }{ \cancel{2}} \\`

`\bf{\red{ \longrightarrow}} \tt \: \large{\bf{{{\color{navy}{r \: = \: 8 \: yd}}}}}`

`\bf{\red{ \longrightarrow}} \tt \: \: \large{\bf{{{\color{navy}{h \: = \: 16 \: yd}}}}}`

`\bf \large \longrightarrow \: \: 3.14 \: * \: {8}^(2) \: * \: (16)/(3) \\`

`\bf \large \longrightarrow \: \:3.14 \: * \: 64 \: * \: (16)/(3) \\`

`\bf \large \longrightarrow \: \:3.14 \: * \: 64 \: * \: \frac{ \cancel{16} \: \: ^(5.33) }{ \cancel{3}} \\`

`\bf \large \longrightarrow \: \:3.14 \: * \: 64 \: * \: 5.33`

`\bf \large \longrightarrow \: \:200.96 \: * \: 5.3`

`\bf \large \longrightarrow \: \:1071.79`

Option (A) is the correct answer

Answer 2

V = 1071.79 yd^3

Explanation:

The volume of a cone is

V = 1/3 pi r^2 h where r is the radius and h is the height

We are given a diameter of 16 so the radius is 1/2 of the diameter or 8

The height is 16

V = 1/3 ( 3.14) (8)^2 ( 16)

V = 1071.78666 yd^3

Rounding to the nearest hundredth

V = 1071.79 yd^3