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Tanzania [10]
3 years ago
13

Find the Volume of the composite figure below.

Mathematics
2 answers:
olya-2409 [2.1K]3 years ago
8 0

Answer:

<h2>972 pi ft^3</h2>

solution,

Volume of this composite figure

= Volume of cylinder+volume of cone

Formula to find volume of cylinder:

\pi \:  {r}^{2} h

Formula to find volume of cone:

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

Use,

\pi =  \: pi

Here,

Radius of cone= radius of cylinder

=9 ft

Height of cylinder=10 ft

Height of cone=16 ft-10 ft=6 ft

Nowz

Volume of the figure:

\: pi \:  {r}^{2} h +  \frac{1}{3}  \: pi \:  {r}^{2} h \\  =  \: pi \times  {(9)}^{2}  \times 10 +  \frac{1}{3}  \times  \: pi \times  {(9)}^{2}  \times 6 \\  =  \: pi \:  \times 81 \times 10 +  \frac{1}{3}  \times 21 \times 6 \times  \: pi \\  = 810 \: pi + 162 \: pi \\  = 972 \: pi \:  {ft}^{2}

Hope this helps...

Good luck on your assignment...

Luda [366]3 years ago
4 0
Hi I need the didnt for
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