Question

.
The circumference of the base of a right circular cylinder is 220 cm. If the height of the cylinder is
2 m. find the lateral surface area ​

Answer 1

Answer:

44000cm²

Step-by-step explanation:

circumference of right circular cylinder=2.pi.r

=> 220 cm= 2 x 22/7 x r

=> 220 =44/7 x r

=> r=220 x 7/44=35 cm

because h=2m given

hence h=200cm

lateral surface area of cylinder=2pi.r.h

=2 x 22/7 x 35 x200

=220 x 200 cm^2

=44000 cm^2

Answer 2

$\huge \underline \mathsf \red {Solution:-}$

Let the height and radius of the cylinder be h and r cm respectively.

Given:

• Height is 2m = 200cm

As, circumference of base = 220

2πr = 220

➠ $\mathsf {2 \times\frac{22}{7} \times r = 220}$

r = 35 cm

➠ $\mathsf {2 \times\frac{22}{7} \times 35 \times h}$

➠ $\mathsf {2 \times\frac{22}{7} \times 35 \times 220}$

As, Lateral surface of cylinder = 2πrh

= 44000 cm²

$\setlength{\unitlength}{1.0 cm}}\begin{picture}(12,4)\thicklines\put(1,1){\line(1,0){6.5}}\put(1,1.1){\line(1,0){6.5}}\end{picture}$