Question

A cylindrical drum has a height of 20 cm and base radius of 14 cm. Find its curved surface area and

the total surface area.​

Answer 1

Answer:

CSA=2πrh

2.²²/7.14.20= 1760cm^2

TSA=2πr(r+h)

2.22/7.14(14+20)

88.34= 2992cm^2

Answer 2

• Curved surface area is 1760 cm².
• Total surface area is 2992 cm².

Step-by-step explanation:

$\boxed{ \star \: \sf \bold{Curved \: surface \: area = 2 \pi rh}}$

In which,

• r and h are Radius and height of cylinder respectively.

r = 14 cm.

h = 20 cm.

$\longrightarrow \sf 2 \times \dfrac{22}{ \cancel{7}} \times \cancel{14} \times 20$

$\longrightarrow \sf 2 \times 22 \times 2 \times 20$

$\longrightarrow \sf 1760$

Curved surface area is 1760 cm².

$\boxed{ \star \: \sf \bold{ Total \: surface \: area = 2\pi r(r + h)}}$

$\longrightarrow \sf 2\pi {r}^{2} + 2\pi rh$

• 2πrh = 1760 cm².

$\longrightarrow \sf 2 \times \dfrac{22}{ \cancel{7}} \times \cancel{14} \times 14 \: + \: 1760$

$\longrightarrow \sf 1232 + 1760$

$\longrightarrow \sf 2992$

Total surface area is 2992 cm².