2 years ago

Find the Volume of the composite figure below.

Mathematics

2 answers:

olya-2409 [2.1K]2 years ago

8 0

Answer:

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:

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