Question

find the curved surface area and total surface area of a right circular cyclinder whose height and radius of the base are 30cm and 14cm respectively​

Answer 1

Given :

Height of right circular cylinder = 30 cm.

Radius of right circular cylinder = 14 cm.

To find :

CSA and TSA of right circular cylinder.

Solution :

➸ CSA of cylinder = 2πrh

➸ CSA of cylinder = 2 × 22/7 × 14 × 30

➸ CSA of cylinder = 2 × 22 × 2 × 30

➸ CSA of cylinder = 2640 cm²

∴ Curved surface area of cylinder = 2640 cm²

★ ═════════════════════ ★

➠ TSA of cylinder = 2πr(r + h)

➠ TSA of cylinder = 2 × 22/7 × 14(14 + 30)

➠ TSA of cylinder = 2 × 22 × 2 × 44

➠ TSA of cylinder = 3872 cm²

∴ Total surface area of cylinder = 3872 cm²

Answer 2

$\Large{\bf{Given\::}}$

• Height of a cylinder is 30 cm.

• Radius of the cylinder is 14 cm.

$\\ \Large{\bf{To\: Find\::}}$

⑴ The curved surface area of the cylinder.

⑵ The total surface area of the cylinder.

$\\ \Large{\bf{Solution\::}}$

☛ Curved surface area (C.S.A) of the cylinder is given by,

✯ $\:\mid\:\bf\purple{C.S.A\:=\:2\:\pi\:r\:h\:}\mid\:$ ✯

➵ C.S.A = $\tt{2\times{\dfrac{22}{7}}\times{14}\times{30}}$

➵ C.S.A = $\tt{2\times{22}\times{2}\times{30}}$

➵ C.S.A = $\tt\pink{2640\:cm^2}$

∴ The curved surface area of the cylinder is 2640 cm².

⠀

☛ Total surface area (T.S.A) of the cylinder is given by,

✯ $\:\mid\:\bf\blue{T.S.A\:=\:2\:\pi\:r\:(r\:+\:h)\:}\mid\:$ ✯

➳ T.S.A = $\tt{2\times{\dfrac{22}{7}}\times{14}\:{(14\:+\:30)}}$

➳ T.S.A = $\tt{2\times{22}\times{2}\times{44}}$

➳ T.S.A = $\tt\green{3872\:cm^2}$

∴ The total surface area of the cylinder is 3872 cm².