Question

the volume of a right circular cylinder is 1100 cm^3 and radius is 5 CM. find its TSA​

Answer 1

To Find :

• we need to find the Total surface area of cylinder.

Given :

• Volume of cylinder = 1100cm³
• Radius of cylinder = 5cm

we know that,

• Volume of Cylinder = πr²h

⇛π × 5² × h = 1100

⇛25πh = 1100

⇛πh = 1100/25

⇛πh = 44

⇛h = 44/π

• TSA of cylinder = 2πr(r + h)

⟹ 2π × 5(5 + 44/π)

⟹ 10π( 5 + 44/π)

⟹ 50π + 440

⟹ 50 × 22/7 + 440

⟹ 1100/7 + 440

⟹ (1100 + 3080)/7

⟹ 4180/7

⟹ 597.14cm²

hence,

• TSA of cylinder = 597.14cm²

Answer 2

$\rm\huge\blue{\underline{\underline{ Question : }}}$

The volume of a right circular cylinder is 1100 cm³ and radius is 5 CM. Find its TSA.

$\rm\huge\blue{\underline{\underline{ Solution : }}}$

★ Given that,

• Volume of Cylinder = 1100 cm³
• Radius of Cylinder = 5 cm.

★ To find,

• Total Surface area of Cylinder.

★ Let,

Volume of Cylinder = πr²h = 1100

$\sf\:\implies \frac{22}{7} \times 5 \times 5 \times h = 1100$

$\sf\:\implies h = 1100 \times \frac{1}{5} \times \frac{1}{5} \times \frac{22}{7}$

$\sf\:\implies h = 2 \times 7$

$\sf\:\implies h = 14$

$\boxed{\bf{\purple{ \therefore Height(h) = 14 cm}}}$

★ Now,

• $\tt\green{ Total\:Surface\:area\:_{( Cylinder)} = 2\pi r(r + h) }$

$\sf\:\implies 2 \times \frac{22}{7} \times 5 (5 + 14)$

$\sf\:\implies 2 \times \frac{22}{7} \times 5 (19)$

$\sf\:\implies \frac{4180}{7}$

$\sf\:\implies 597.14$

$\underline{\boxed{\bf{\purple{ \therefore Total\:surface\:area\:_{( Cylinder)} = 597.14cm^{3}}}}}\:\orange{\bigstar}$