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Bezzdna [24]
2 years ago
6

Find the volume of the compound shape.​

Mathematics
2 answers:
SpyIntel [72]2 years ago
7 0

half of a sphere:

=56.55 cm^3

cone:

=94.25 cm^3

all together:

150.80 cm^3

arsen [322]2 years ago
4 0
<h3>Volume of the hemisphere:</h3>

v =  \frac{2}{3} \pi {r}^{3}

v =  \frac{2}{3}  \times \pi \times  {3}^{3}

v = 56.55 \:  {cm}^{3}

<h3>Volume of the cone:</h3>

v =  \frac{1}{3} \pi {r}^{2} h

v =  \frac{1}{3}  \times \pi \times  {3}^{2}  \times 10

v = 94.25 \:  {cm}^{3}

<h3>Total volume:</h3>

v = 56.55 + 94.25

v = 150.80 \:  {cm}^{3}

<u>Therefore</u><u>,</u><u> </u><u>the</u><u> </u><u>volume</u><u> </u><u>of</u><u> </u><u>the</u><u> </u><u>compound</u><u> </u><u>shape</u><u> </u><u>is</u><u> </u><u>150.80</u><u> </u><u>cubic</u><u> </u><u>centimeters</u><u>.</u>

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