Question

find the volume of the cone. volume formula: v = \frac{\pi r^{2}\cdot h}{3} use 3.14 for \pi. v = ? cm^{3}

Explanation:

Step1: Substitute the values into the formula

Given \(r = 7\) cm and \(h=21\) cm, \(\pi = 3.14\). The volume formula for a cone is \(V=\frac{\pi r^{2}h}{3}\). Substitute the values: \(V=\frac{3.14\times7^{2}\times21}{3}\).

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

First, calculate \(7^{2}=49\). Then the formula becomes \(V = \frac{3.14\times49\times21}{3}\).

Step3: Simplify the fraction

Since \(\frac{21}{3}=7\), the formula is \(V=3.14\times49\times7\).

Step4: Calculate the product

\(49\times7 = 343\), then \(V=3.14\times343\).
\(3.14\times343=(3 + 0.14)\times343=3\times343+0.14\times343=1029+48.02 = 1077.02\).

Answer:

\(1077.02\)