Question

a right circular cylinder has base radius 14 cm and height 21 CM then find the total surface area of the cylinder

Answer 1

Total surface area of cylinder =2×22/7×r (r+h)units.sq
=2×22/7×14 (14+21)
=22×4 (35)
=88×35
=3080

Answer 2

Given,

The radius of the right circular cylinder = 14 cm

The height of the right circular cylinder = 21 cm

To find out,

The total surface area of the cylinder.

Solution:

$\huge \: \: \: total \: surface \: area \: of \: cylinder \: = 2 \pi \: r(r + h)$

Where,

π = 22/7

r = 14 cm

h = 21 cm

Now substitute the values in the formula.

$total \: surface \: area \: = 2 \times \frac{22}{7} \times 14(14 + 21) \\ \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = 2 \times 22 \times 2(35) \\ \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = 3080 \: \: {cm}^{2}$

Therefore the total surface area of cylinder is 3080 cm^2.

Additional information:

$\huge \: lateral \: surface \: area \: of \: cylinder \: = 2 \pi \: rh \: square \: units$

$total \: surface \: area \: of \: cylinder \: = 2 \pi \: r(r + h) \: square \: units$

$volume \: of \: cylinder \: = \pi \: {r}^{2} h \: cubic \: units \:$