Question

the circumference of the base of a cylinder is 220 cm and it's height is 105 cm . fin the total surface area​

Answer 1

Answer:

30800 cm^2

Step-by-step explanation:

C=220 cm

2πr=220

2*22/7*r=220

r=(220*7)/(2*22)

r=1540/44

r=35

TSA=2πr(h+r)

=220*(105+35) cm^2

=220*140 cm^2

=30800 cm^2

Answer 2

Question:

the circumference of the base of a cylinder is 220 cm and it's height is 105 cm . find the total surface area??

Given:

$\sf{circumfrence of \: the \: base \: of \: cylinder \longmapsto220cm} \\ \sf{height(h)\longmapsto 105cm}$

To Find:

$\sf{t.s.a. \: of \: cylinder}$

Solution:

$\sf{circumfrence \: of \: base \: of \: cylinder\longmapsto 2\pi r} \\ \sf{\longmapsto220cm = \times \frac{22}{7} \times r } \\ \sf{\longmapsto \frac{220 \times 7}{22 \times 2} = r } \\ \sf{\longmapsto \frac{1540}{44} = r} \\ \sf{\longmapsto {35cm = r}}$

Now,

$\sf{tsa \: of \: cylinder\longmapsto2\pi rh + 2\pi r ^{2} } \\ \sf{\longmapsto2 \times \frac{22}{7} \times 35 \times 105 + 2 \times \frac{22}{7} \times {(35)}^{2} } \\ \sf{\longmapsto \frac{44}{7} \times 3675 + \frac{44}{7} \times 1225 } \\ \sf{\longmapsto \frac{161700}{7} + \frac{53900}{7} } \\ \sf{\longmapsto \frac{215600}{7} } \\ \sf{\longmapsto {30800cm}^{3} }$

Final Answer:

$\ \sf{\longmapsto {30800cm}^{2} }$