Question

What will be the total surface area of cylinder if base radius = 4 cm and height =
10 cm?​

Answer 1

Given:-

• Base radius of cylinder = 4cm
• Height of cylinder = 10cm

To find:-

• Total surface area of cylinder.

Solution :-

$\sf \implies \: total \: surface \: area \: = 2 \pi \: r(r + h) \\ \sf = 2 \times \frac{22}{7} \times 4(4 + 10)cm \\ \sf = \frac{44}{7} \times 4(14)cm \\ \sf \: = \frac{44}{7} \times 56cm \\ \sf \: = 532cm \ {}^{2}$

∴ Total surface area of cylinder is 532cm^2.

Extra info:-

• Volume of cylinder = πr^2h

• Curved surface area of cylinder = 2πrh

Answer 2

Question :-

what will be the total surface area of the cylinder if the base radius is 4 cm and the height is 10 cm ?

Solution :-

Given that

• base radius of the cylinder is 4 cm .
• height of the cylinder is 10 cm .

what we have to find here ?

=> we have to find the total surface area of the cylinder

how to find it ?

=> we can find it simply by putting the formula of total surface area of the cylinder .

Formula to be used ;

2πr(r+h)

substituting the values ;

=> 2πr(r+h)

=> 2×22/7×4(4+10)cm

=>2×22/7×4(14)cm

=> 44/7×56 cm

=> 532 cm ^2

Hence ,

the total surface area of the cylinder is 532 CM square .