Question

The volume of a cylinder is 1540 cm³.
Find its radius if its height is 10 cm.

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Answer 1

$\Large\underbrace{\pink{\bf{\star\;SoluTion:}}}$

Given,

Volume of Cylinder = 1540cm³

Height of Cylinder = 10cm

Let's, Radius of Cylinder br 'r'

✒️ $\boxed{\sf{Volume\;of\;Cylinder = πr²h}}$

$→\;{\bf{\frac{22}{7}×r²×10 = 1540}}$

$→\;{\bf{r² = \frac{1540}{10}×\frac{7}{22}}}$

$→\;{\bf{r² = \frac{154×7}{22}}}$

$→\;{\bf{r² = {\cancel{\frac{1078}{22}}}}}$

$→\;{\bf{r = \sqrt{49}}}$

$→\;{\bf{r = \sqrt{7²}}}$

$→\;{\sf{r = 7cm}}$

◕➜ Radius of Cylinder is $\fbox\red{\sf{7cm}}$

Hope It Helps You ✌️

Answer 2

Step-by-step explanation:

••GIVEN THAT •••

• The volume of a cylinder = 1540 cm3

• The height of cylinder = 10 cm

••• TO FIND •••

• Radius of cylinder ?

• Formula of volume of cylinder =

$\pi {r}^{2} h$

Where. r = radius of cylinder

h = height of cylinder

•••SOLUTION•••

$\pi {r}^{2} h = 1540 \\ = > \frac{22}{7} {r}^{2} \times 10 = 1540 \\ = > {r}^{2} = \frac{1540 \times 7}{22 \times 10} \\ = > {r}^{2} = 49 \\ = > r = 7cm$

finally we got the radius of cylinder = 7cm