Question

A conical tent has a radius of 4.8 ft and a height of 4.8 ft. Doubling which dimension(s) will quadruple the volumeof the tent?O neither height nor radiusO height« radiusO both height and radius

Answer 1

Okay, here we have this:

Considering the provided information, we are going to calculate the volumen of the conical tent, so we obtain the following:

$\begin{gathered} V=\frac{1}{3}h\cdot\pi\cdot r^2 \\ =\frac{1}{3}(4.8)\cdot\pi\cdot(4.8)^2 \\ \approx115.81 \end{gathered}$

Now, let's try doubling the radius, to see what happens to the volume:

$\begin{gathered} =\frac{1}{3}(4.8)\cdot\pi\cdot(9.6)^2 \\ \approx463.24 \end{gathered}$

Finally we obtain that doubling the radius quadruples the volume, therefore the correct answer is the third option.