Question

Find the volume of the right cone below. Round your answer to the nearest tenth if necessary. r=8 h=15

Answer 1

Answer: $320\pi$ = 1005.3

Step-by-step explanation:

Use the formula for the volume of a cone: $V = \pi r^2h$

$\frac{1}{3}\pi\left(8^{2}\right)15$ = 320$\pi$ = 1005.3

Answer 2

Answer:

$\sf 320\pi \, \textsf{ or } \, 10005.3 \, \textsf{unit}^3$

Step-by-step explanation:

To find the volume of a right cone, we can use the formula:

$\Large\boxed{\boxed{\sf V = \dfrac{1}{3} \pi r^2 h}}$

Where:

• $\sf V$ is the volume of the cone,
• $\sf r$ is the radius of the base of the cone, and
• $\sf h$ is the height of the cone.

Given that $\sf r = 8$ and $\sf h = 15$, we can substitute these values into the formula to find the volume:

$\sf V = \dfrac{1}{3} \pi (8)^2 \times 15$

$\sf V = \dfrac{1}{3} \pi \times 64 \times 15$

$\sf V = \dfrac{1}{3} \times 64 \times 15 \times \pi$

$\sf V = \dfrac{64 \times 15}{3} \times \pi$

$\sf V = 320 \pi$

$\sf V = 320 \cdot 3.1415926535897$

$\sf V \approx 1005.3096491487$

$\sf V \approx 1005.3 \textsf{ unit}^3 \textsf{(in nearest tenth)}$

So, the volume of the cone is:

$\large\boxed{\boxed{\sf 320\pi \, \textsf{ or } \, 10005.3 \, \textsf{unit}^3 }}$