Question

1. a cone has a radius of 7 cm and a height of 10 cm. what is its volume?

a. 163.33π cm³
b. 245π cm³
c. 154π cm³
d. 490π cm³

Explanation:

Step1: Recall the formula for the volume of a cone

The volume formula for a cone is \(V=\frac{1}{3}\pi r^{2}h\), where \(r\) is the radius and \(h\) is the height.

Step2: Substitute the given values into the formula

Given \(r = 7\space\text{cm}\) and \(h=10\space\text{cm}\). Substitute into the formula: \(V=\frac{1}{3}\pi\times(7)^{2}\times10\).
First, calculate \((7)^{2}=49\). Then the expression becomes \(V=\frac{1}{3}\pi\times49\times 10=\frac{490}{3}\pi\approx163.33\pi\space\text{cm}^{3}\).

Answer:

A. \(163.33\pi\space\text{cm}^{3}\)