Question

1. The diameter of a cylinder is 14 cm and its height is 60 cm. Find: (i) its curved
surface area; (ii) its total surface area; (iii) its volume.​

Answer 1

$\Large{\underline{\underline{\bf{\red{Given}}}}}$

• Diameter of cylinder = 14cm
• Radius of cylinder = 14/2 = 7cm
• Height of cylinder = 60cm

$\Large{\underline{\underline{\bf{\red{To\:find}}}}}$

• Total surface area of cylinder
• Curved surface area of cylinder
• Volume of cylinder

$\Large{\underline{\underline{\bf{\red{Solution}}}}}$

Total surface area of cylinder

➠ 2πrh + 2πr²

➠ 2πr(h + r)

➠ 2 × 22/7 × 7(60 + 7)

➠ 44 × 67

➠ 2948 cm²

Curved surface area of cylinder

➠ 2πrh

➠ 2 × 22/7 × 7 × 60

➠ 44 × 60

➠ 2640 cm²

Volume of cylinder

➠ πr²h

➠ 22/7 × 7 × 7 × 60

➠ 22 × 7 × 60

➠ 9240 cm³

Answer 2

Answer:

2640 , 2948, 9240

Explanation:

d = 14/2 = 7 cm

h = 60 cm

i) CSA = 2πrh = 2 * 22/7 * 7 * 60 = 2640 cm^2

ii) TSA = 2πr (r+h) = 2 * 22/7 * 7 ( 7 + 60) = 44 * 67 = 2948 cm^2

iii) volume = πr^2h = 22/7 * 7 * 7 * 60 = 22 * 420 = 9240 cm^3