Question

12 multiple choice 1 point
what is the volume of the cone if the area of the base is 147 cm² and the height is 9 cm? v = 1/3 πr²h
189 cm³
441 cm³
21 cm³
147 cm³
13 multiple choice 1 point
find the volume of a cylinder (in cubic feet) which is 1 1/2 feet high and has a diameter of 8 inches. (leave answer in terms of π.)
6π ft³
1/6 π ft³
2/3 π ft³
12π ft³

Explanation:

Step1: Recall the volume formula for a cone

The volume formula for a cone is \(V=\frac{1}{3}Bh\), where \(B\) is the area of the base and \(h\) is the height. Here, \(B = 147\mathrm{cm}^2\) and \(h=9\mathrm{cm}\).

Step2: Substitute the values into the formula

Substitute \(B = 147\) and \(h = 9\) into \(V=\frac{1}{3}Bh\). So \(V=\frac{1}{3}\times147\times9\).
First, calculate \(\frac{1}{3}\times147 = 49\). Then \(49\times9=441\).

Answer:

\(441\mathrm{cm}^3\)