Question

Right circular cone shape building has radius 8m and slant height 17m, so, what will be its volume...​

Answer 1

$\bf \: \underline{Given} :$ ↴

$\sf \: Radius = 8 \: m$

$\sf \: Slant \: height = 17 \: m$

$\bf \: \underline{To \: find} :$ ↴

$\sf \: We \: have \: to \: find \: the \: volume.$

$\bf \: \underline{ \underline{Solution} }:$ ↴

$\sf \: To \: find \: the \: volume, \: first \: of \: all \: we \: need \: to \: find \: the \: height.$

$\boxed{ \sf \: \red{Formula \: \longmapsto l^{2} = r^{2} + h ^{2} }}$

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

$\sf \sf \: \implies \: 289 = 64 + (h) ^{2}$

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

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

$\sf \sf \: \implies h = 15$

$\boxed{ \pink{\sf \: So, \: height \: is \: 15 \: \: meter.}}$

$\bf \: Now,$

$\sf \: We \: will \: find \: the \: volume.$

$\boxed{ \red{\sf \: Formula \longmapsto \pi \: r^{2} \: \dfrac{h}{3}}}$

$\sf \: \underline{Putting \: the \: values},$

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

$\sf \: \implies \: 3.14 \: \times 8 \times 8 \times 5$

$\sf \: \implies \: 3.14 \: \times 64 \times 5$

$\sf \: \implies \: 1004.8$

$\underline{ \boxed{ \pink{ \sf \: Thus, \: volume = 1004.8 \: cm ^{3} }}}$