Question

The volume of a sphere is 38808 cm3 .The diameter of the sphere is ​

Answer 1

Answer:

Volume of sphere = 4/3 πr³ =38808

11×3528 = 4/3 × 22/7 ×r³

r ³=21×21×21

r= 21

D = 2r = 42 CM

Answer 2

Answer: 42 cm

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$\huge\color{red}{Given:-}$$\sf\green{Volume\: of \: the \: sphere \:=\: 38808\: cm³}$$\huge\color{red}{To \: find :-}$$\sf\green{Diameter \: of \: the \: sphere \: ?}$$\huge\color{red}{Solution :-}$Let, the radius of sphere = r ━━━━━━━━━━━━━━━━━━━━━━━━━

Using Formula:

$\begin{gathered}\begin{gathered}: \implies \underline{ \boxed{\displaystyle \sf \bold{\: \frac{4}{3} \pi \: r ^{3} \: = \: volume }} }\\ \\\end{gathered}\end{gathered}$$\begin{gathered}\begin{gathered}: \implies \displaystyle \sf \: \frac{4}{3} \pi \: r ^{3} \: = \: 38808 \\ \\ \\\end{gathered}\end{gathered}$

$\begin{gathered}\begin{gathered}: \implies \displaystyle \sf \: r ^{3} \: = \: \frac{38808 \: \times \: 7 \: \times \: 3}{4 \: \times \: 22} \: = \: 9261 \\ \\ \\\end{gathered}\end{gathered}$$\begin{gathered}\begin{gathered}: \implies \underline{ \boxed{\displaystyle \sf \bold{\: Radius \: = \: 21cm }} }\\ \\\end{gathered}\end{gathered}$

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$\sf\blue {Diameter \: is \: double \: of \: Radius}$

$\begin{gathered}\begin{gathered}:\implies \displaystyle \sf \: 2r \: = \: 21 \: × \: 2 cm\: = \: 42cm\\ \\ \\\end{gathered}\end{gathered}$$\begin{gathered}\begin{gathered}: \implies \underline{ \boxed{\displaystyle \sf \bold{\: Diameter \: = \: 42cm }} }\\ \\\end{gathered}\end{gathered}$

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