Question

An iron sphere is of a diameter 42 cm. What is the volume of sphere in cm3 and m3

Answer 1

$\blue{\bold{\underline{\underline{Answer:}}}}$

$\green{\tt{\therefore{Volume\:of\:sphere=38,808\:cm^{3}\:or\:3.8808\:m^{3}}}}$

$\orange{\bold{\underline{\underline{Step-by-step\:explanation:}}}}$

$\green{\underline \bold{Given: }} \\ \tt: \implies Diameter \: of \: radius = 42 \: cm \\ \\ \red{\underline \bold{To \: Find: }} \\ \tt: \implies Volume \: of \: sphere = ?$

• According to given question :

$\tt \circ \: Radius = \frac{42}{2} = 21 \: cm \\ \\ \bold{As \: we \: know \: that} \\ \tt: \implies Volume \: of \: sphere = \frac{4}{3} \pi {r}^{3} \\ \\ \tt: \implies Volume \: of \: sphere = \frac{4}{3} \times \frac{22}{7} \times {21}^{3} \\ \\ \tt: \implies Volume \: of \: sphere = \frac{4}{3} \times \frac{22}{7} \times 21 \times 21 \times 21 \\ \\ \tt: \implies Volume \: of \: sphere =4 \times 22 \times 3 \times 7 \times 21 \\ \\ \green{\tt: \implies Volume \: of \: sphere = 38808 \: {cm}^{3} } \\ \\ \green{\tt: \implies Volume \: of \: sphere = 3.8808 \: {m}^{3} } \\ \\ \blue{ \bold{Some \: related \: formula}} \\ \orange{\tt \circ \: C.S.A\: of \: sphere = 4\pi {r}^{2} } \\ \\ \orange{\tt \circ \: C.S.A \: of \:hemisphere= 3\pi {r}^{2} } \\ \\ \orange{\tt \circ \: Volume \: of \: hemisphere = \frac{2}{3} \pi {r}^{2} }$

Answer 2

$</p><p>\tt{\huge{\pink{Hello!!! }}}$

$</p><p>\tt{\red{\boxed{\boxed{\huge{\bullet{Question \: - }}}}}}$

An iron sphere is of a diameter 42 cm. What is the volume of sphere in cm3 and m3

$</p><p>\tt{\pink{----------}}}$

$</p><p>\tt{\green{\boxed{\boxed{\huge{\bullet{Solution \: - }}}}}}$

We Know That :

$\tt{ \purple{Volume \: Of \: A \: Sphere \: = \: \dfrac{4}{3} \pi \: {r}^{3} }}$

$</p><p>\tt{\red{Given \: - }}$

• Diameter = 42 cm.

• => Radius = 21 cm.

$\tt{\blue{\implies{Volume\:of\:sphere\:=4×22×3×7×21 }}}$

$</p><p>\tt{\orange{\therefore{Volume\:of\:sphere\:=\:38808\:{cm }^3 }}}..........(A1)$

$</p><p>\tt{\purple{\implies{Volume\:of\:sphere\:=\:3.8808\:</p><p>{m }^3 }}}............(A2)$

$</p><p>\tt{\pink{----------}}}$

$</p><p>\tt{\blue{Some\:related\:formula\: : }}$

$\tt {\square{\orange{C.S.A\:of\: A \:Sphere\:=\:4 \pi \:{r }^2 }}}$

$\tt {\square{\orange{C.S.A\:of\: A \:Hemisphere\:=\:3 \pi \:{r }^2 }}}$

$\tt {\square{\orange{Volume\:of\: A \:Hemisphere\:=\:\dfrac{2}{3} \pi \:{r }^3 }}}$

$</p><p>\tt{\pink{----------}}}$