Question

Find the volume of a cone with slant equal to 10m and radius equal to 8m.

Answer 1

the reqd. vol. of a cone is 402.2857142857.

Answer 2

Hey user here is Answer

according to question.

given that

slant of cone(l)=10 cm

Radius of cone (r)=8 cm

as we know that

volume of cone=1/3πr^2h

so we have to find the value of h

it means

h=?

now

using to this formula

$\bf \red{ {l}^{2} = {r}^{2} + {h}^{2} } \\ \\ \bf \blue{ {10}^{2} = {8}^{2} + {h}^{2} } \\ \\ \bf \red{100 - 64 = {h}^{2} } \\ \\ \bf \red{ {h}^{2} = 36} \\ \\ \bf \red{h = \sqrt{36} } \\ \\ \bf \red{h = 6 \: cm} \\ \\ \bf \huge \: now \\ \\ \bf \blue{using \: to \: this \: formula} \\ \\ \bf \pink{volume \: of \: cone = \frac{1}{3} \pi \: {r}^{2}h } \\ \\ \bf \pink{v = \frac{1}{3} \times \frac{22}{7} \times 8 \times 8 \times 6} \\ \\ \bf \pink{v = \frac{22 \times 64 \times 2}{7} } \\ \\ \bf \pink{v = \frac{44 \times 64}{7} } \\ \\ \bf \pink{v = \frac{2816}{7} } \\ \\ \bf \pink{v = 402.28} \\ \\ \bf \pink{v = 402.3 \: c {m}^{3} \: \: \: approx}$