Question

Heap of rice is in the form of cone of base diameter 24m and height 3.5 m find the volume of the rice how much canvas cloth is required to just cover the hi

Answer 1

Hey Pretty Stranger!

$\bold{ \red{Here \: you \: go!}}$

Given Dimensions :

• Diameter = 24 m,Radius = 12 m

• Height = 3.5 m

$\boxed{ \rm \: Volume \: of \: cone = \dfrac{1}{3} \pi {r}^{2} h}$

$\rightarrow \sf \: \dfrac{1}{3} \times \dfrac{22}{7} \times 12 \times 12 \times 3.5$

$\rightarrow \sf \: 132 \times 4$

$\rightarrow \sf \: 528 \: {cm}^{3}$

Hence,The volume is 528 cm^3

Now,

$\boxed{ \rm \: Area \: of \: cloth \: required = Curved \: Surface \: Area}$

$\boxed{ \rm \: CSA \: of \: cone = \pi \: r \: l}$

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

$\rightarrow \sf \: l = \sqrt{( {2.5})^{2} + ({12})^{2} }$

$\rightarrow \sf \: l = \sqrt{12.25 + 144}$

$\rightarrow \sf \: l = \sqrt{156.25}$

$\rightarrow \sf \: l = 12.5 \: m$

Now,Curved Surface Area :

$\boxed{ \rm \: CSA \: of \: cone = \pi \: r \: l}$

$\rightarrow \sf \: \dfrac{22}{7} \times 12.5 \times 12$

$\rightarrow \sf \cancel \dfrac{3300}{7}$

$\rightarrow \sf 471. 428571... \: {m}^{2}$

Hence,Area of canvas cloth required is 471.428571..... m^2