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4 votes
4 votes
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

User Jqgsninimo
by
2.6k points

1 Answer

20 votes
20 votes

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=(1)/(3)h\cdot\pi\cdot r^2 \\ =(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} =(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.

User Dito
by
2.7k points
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