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24 votes
24 votes
Look at image below for accurate information (type an integer or a decimal. Round to the nearest 10th as needed)

Look at image below for accurate information (type an integer or a decimal. Round-example-1
User SashaQbl
by
2.9k points

1 Answer

12 votes
12 votes

To solve this question we will use the formula for the volume of a cone and solve for h.

Recall that the volume of a cone is given by the following formula:


V=(1)/(3)hr^2\pi,

where h is the height, and r is its radius.

Solving the above equation for h we get:


\begin{gathered} 3V=hr^2\pi, \\ h=(3V)/(r^2\pi). \end{gathered}

Substituting r=3.5 cm and V=63 cu cm we get:


h=(3(63cm^3))/((3.5cm)^2\pi)\approx4.9\operatorname{cm}.

Answer: 4.9 cm.

User Manish Dash
by
2.5k points
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