Question

A hemisphere sits on top of a cylinder. 716 cm11 cmWhat is the volume of the composite figure to the nearest tenth?.

Answer 1

ANSWER:

STEP-BY-STEP EXPLANATION:

We must divide the figure in two, first in a cylinder and in a hemisphere

The formula for the volume of the cylinder is as follows

$V_c=\pi\cdot r^2\cdot h$

where r is the radius and h is the height

the radius equals half the diameter (11), therefore

$r=\frac{d}{2}=\frac{11}{2}=5.5$

replacing we have

$\begin{gathered} V_c=3.14\cdot5.5^2\cdot16 \\ V_c=1519.76 \end{gathered}$

Now, the formula for the volume of a hemisphere is the following:

$V_h=\frac{\frac{4}{3}\cdot\pi\cdot r^3}{2}=\frac{4}{6}\cdot\pi\cdot r^3$

replacing:

$\begin{gathered} V_h=\frac{4}{6}\cdot\pi\cdot r^3 \\ V_h=\frac{4}{6}\cdot3.14\cdot5.5^3 \\ V_h=348.28 \end{gathered}$

Now the volume of the figure would be the sum of both figures, just like that

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