Question

The volume of a cylinder is 154 cu cm and its height is 2 cm. Find its radius​

Answer 1

CORRECT QUESTION :-

★ The volume of a cylinder is 154 cm³ and its height is 2 cm.Find its radius.

GIVEN :-

• volume of a cylinder is 154 cm³.
• Height of cylinder is 2 cm.

TO FIND :-

• The radius of the cylinder.

SOLUTION :-

★ For finding the radius of the cylinder we have to apply the formula for volume of cylinder i.e volume = πr²h.

→ Volume of cylinder = πr²h

→ 154 = πr²h

→ 154 = 22/7 × r² × 2

→ (154 × 7)/22 = r² × 2

→ 7 × 7 = r² × 2

→ 49 = r² × 2

→ 49/2 = r²

→ r² = 24.5

→ r = √24.5

→ r ≈ 4.94

Hence the radius of the cylinder when its volume is 154 cm³ and its height is 2 cm is 4.94 cm .

Answer 2

☯️QUESTION☯️

The volume of a cylinder is 154 cm³ and its height is 2 cm. Find its radius

☯️ANSWER☯️

⚡GIVEN⚡

• Volume of cylinder = 154 cm³
• Height of cylinder = 2 cm

⚡TO FIND⚡

• Radius of cylinder = ?

⚡FORMULA USED⚡

• Volume of cylinder = π×r²×h

⚡SOLUTION⚡

Here, Let radius of cylinder be r cm

we know that,

➜ Volume of cylinder = π×r²×h

where,

• height h = 2 cm
• Volume of cylinder = 154 cm³
• π = $\sf\frac{22}{7}$

So,

➝ Volume of cylinder = π×r²×h

$\sf➲154 = \frac{22}{7} \times {(r)}^{2} \times 2$

$\sf➲154 = \frac{44}{7} \times {r}^{2}$

$\sf➲ \frac{154 \times 7}{44} = {r}^{2}$

$\sf➲ \frac{1078}{44} = {r}^{2}$

$\sf➲ 24.5 = {r}^{2}$

$\sf➲ r = \sqrt{24.5}$

$\sf➲ r = 4.9497(approx.)$

$\sf➲ r = 4.9cm$

Hence, radius of cylinder is 4.9cm