Question

What number can be used to complete the volume statement for the cone? A cone with height 4 meters and diameter 3 meters.

Answer 1

Step-by-step explanation:

The formula of a volume of a cone:

$V=\dfrac{1}{3}\pi r^2H$

r - radius

H - height

We have

$H=4m;\ 2r=3m\to r=1.5m$

We have everything we need to calculate the volume of the cone.

$V=\dfrac{1}{3}\pi(1.5)^2(4)$

If we want to get the approximate volume, we must use the approximation of the number π.

$\pi\approx3.14;\ \pi\approx\dfrac{22}{7}$

$V=\dfrac{1}{3}\pi(2.25)(4)=\dfrac{9\pi}{3}=3\pi\approx(3)(3.14)=9.42\ (m^3)$