Question

Find the volume of the right cone shown as a decimal rounded to the nearest tenth.

980.2 m^2
2205.4 m^2
3308.1 m^2
8821.6 m^2

Answer 1

Answer:

B

Step-by-step explanation:

Radius = diameter / 2 = 18/2 = 9 m

Volume = (radius^2 x pi x height)/3  = (9^2 x pi x 26)/3  = 2205.4 m^3

Answer 2

Answer:

$\huge\boxed{V=2204.3m^3}$

Step-by-step explanation:

The formula of a volume of a cone:

$V=\dfrac{1}{3}\pi r^2H\\\\r-\text{radius}\\H-\text{height}$

We have:

$2r=18m\to r=\dfrac{18m}{2}=9m\\\\H=26m$

substitute:

$V=\dfrac{1}{3}\pi(9^2)(26)=\dfrac{1}{3}(81)(26)\pi=(27)(26)\pi=702\pi(m^3)$

use π ≈ 3.14

$V\approx(702)(3.14)=2204.28(m^3)\approx2204.3$