Question

HELP HELP! I NEED URGENT HELP WITH THIS equashin.

Answer 1

Answer:

V = 1071.79 yd^3

Step-by-step 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

Answer 2

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

$\bf{\red{ \longrightarrow}} \tt \: r \: = \: \frac{Diameter}{2}$

$\bf{\red{ \longrightarrow}} \tt \: r \: = \: \frac{16 \: yd}{2}$

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

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

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

$\bf \large \longrightarrow \: \: 3.14 \: \times \: {8}^{2} \: \times \: \frac{16}{3}$

$\bf \large \longrightarrow \: \:3.14 \: \times \: 64 \: \times \: \frac{16}{3}$

$\bf \large \longrightarrow \: \:3.14 \: \times \: 64 \: \times \: \frac{ \cancel{16} \: \: ^{5.33} }{ \cancel{3}}$

$\bf \large \longrightarrow \: \:3.14 \: \times \: 64 \: \times \: 5.33$

$\bf \large \longrightarrow \: \:200.96 \: \times \: 5.3$

$\bf \large \longrightarrow \: \:1071.79$

Option (A) is the correct answer