Question

find the volume of the cone. v = ?π m³ leave your answer in terms of π v = 1/3πr²h

Explanation:

Step1: Substitute the values into the formula

The formula for the volume of a cone is \( V=\frac{1}{3}\pi r^{2}h \). Here, \( r = 11\) m and \( h=21\) m.
Substitute these values: \( V=\frac{1}{3}\pi\times(11)^{2}\times21 \).

Step2: Calculate \( (11)^{2} \)

\( (11)^{2}=11\times11 = 121 \). So the formula becomes \( V=\frac{1}{3}\pi\times121\times21 \).

Step3: Simplify \( \frac{1}{3}\times21 \)

\( \frac{1}{3}\times21=\frac{21}{3}=7 \). Now the formula is \( V = 7\times121\pi \).

Step4: Calculate \( 7\times121 \)

\( 7\times121=(7\times120)+(7\times1)=840 + 7=847 \).

Answer:

\( 847\pi\)