Question

Find the radius of the base of the cylinder,if
its volume is 1,03,488 CM and height is 42cm?​

Answer 1

Given :-

• If its volume is 1,03,488 CM and height is 42cm.

To find :-

• Radius of the base of cylinder

Solution :-

• Volume of cylinder = 103488cm³

• Height of cylinder = 42 cm

As we know that

Volume of cylinder = πr²h

Where " r " is radius and " h " is height.

• According to question

→ Volume of cylinder = 103488

→ πr²h = 103488

→ 22/7 × r² × 42 = 103488

→ 22 × r² × 6 = 103488

→ 132r² = 103488

→ r² = 103488/132

→ r² = 784

→ r = √784

→ r = 28 cm

Hence,

• Radius of the base of cylinder is 28 cm

Answer 2

Answer:

28 cm

Step-by-step explanation:

Given:

Height = 42 cm

Volume of cylinder = 103488 cm^3

We know that,

$\large \color{palegreen} \boxed { \mathtt {Volume \: of \: cylinder = π \: r^2 \: h</p><p>}}$

$\large => 103488 = \frac{22}{7} × \: r^2 \: × \: 42$

$\large => r^2 = \frac{103488 \times 7}{22 \times 42}$

$\large= > r^2 = 4704 \times \frac{7}{42}$

$\large = > r^2 \: = 112 \times 7</p><p>$

$\huge \color{palegreen}\boxed{ = > r^2 \: = 784 \: cm}$

r = 28 cm

hope it helps.......