Question

If a right circular cone shaped building has
radius 8m and slant height 17m, then what is
its volume?
(A) 256 mm
(B) 320 mm
(C) 384 mm (D) 350 mm
3
3
3
3​

Answer 1

Answer:

what is this 3

3

3

Step-by-step explanation:

please put question properly

Answer 2

Given :-

• Radius = 8 m

• Slanght height = 17 m

To Find :-

• Volume

Solution :-

At first we need to Find Height of the cone

$\sf \: {l}^{2} = {r}^{2} + {h}^{2}$

$\sf \: {17}^{2} = {8}^{2} + {h}^{2}$

$\sf \: {17}^{2} - {8}^{2} = {h}^{2}$

$\sf \: 289 - 64 = {h}^{2}$

$\sf \: 225 = {h}^{2}$

$\sf \: \sqrt{225} = {h}^{2}$

$\sf \: 15 = h$

Now

$\sf \: Volume = \dfrac{1}{3} \pi {r}^{2} h$

$\sf \:Volume = \dfrac{1}{3} \times \dfrac{22}{7} \times (8) {}^{2} \times 15$

$\sf \: Volume = \dfrac{1}{3} \times \dfrac{22}{7} \times 64 \times 15$

$\sf \: Volume = \dfrac{22}{7} \times 64 \times 5$

$\sf \: Volume = \dfrac{7040}{7}$

$\sf \: Volume = 1005 \: c {m}^{3}$