Question

If the radius of a cylinder is 4cm and height is 10cm, then total surface area of a
cylinder is​

Answer 1

$\huge{\underline{\boxed{\boxed{\red{\mathcal{QUESTION:}}}}}}$

If the radius of a cylinder is 4cm and height is 10cm, then total surface  area of cylinder is:

440 cm²

352 cm²

400 cm²

412 cm²

$\huge{\underline{\boxed{\boxed{\red{\mathcal{ANSWER:}}}}}}$

$\star{\bf{\blue{\underline{Given:}}}}$

Radius of cylinder = 4 cm

Height of cylinder = 10 cm

$\star{\bf{\blue{\underline{To\;Find:}}}}$

Total surface area of Cylinder.

$\star{\bf{\blue{\underline{Formula\;used:}}}}$

Total surface area of Cylinder = 2πr(r + h)

Now, put the value in the formula,

⇒ Total Surface area of cylinder = 2πr(r + h)

⇒ Total Surface area of cylinder = 2 × 3.14 × 4(4 + 10)

⇒ Total Surface area of cylinder = 25.12 × 14

⇒ Total Surface area of cylinder = 351.68 or 352 cm² (Approx)

Hence, Correct option is B, 352 cm².

Answer 2

$\huge\bf\underline\purple{Answer}$

$\large\sf\pink{Given :- }$

• Radius of the Cylinder = 4cm

• Height of the Cylinder = 10cm

$\large\sf\pink{To \: Find :- }$

• Total surface area of the Cylinder

$\large\sf\pink{Formula \: used :- }$

⠀⠀⠀⠀$\large\fcolorbox{red}{pink}{TSA = 2πr(r + h)}$

Where,

• TSA = Total surface area of the Cylinder

• r = Radius of the Cylinder

• h = Height of the Cylinder

$\large\sf\pink{Solution :- }$

By substituting values according to the formula,

:⇒ TSA = 2 × 22/7 × 4cm × ( 4 + 10 )cm

⠀:⇒ TSA = 2 × 22/7 × 4cm × 14cm

⠀⠀:⇒ TSA = 2 × 22 × 4cm × 2cm

⠀⠀⠀⠀⠀:⇒ TSA = 352cm²

Hence, The Total surface area of the Cylinder is 352cm²