Question

if the perimeter of the base of a cylinder is 15.4 cm and height is 10 cm let us calculate its volume

Answer 1

754.6 cm cube will be the
2pi r=15.4
r=49/10
pi .r sq.h
22/7×49/10×49/10×10
754.6 cm cube

Answer 2

Height=10 cm
Circumference of base=15.4 cm
$2\pi r = \frac{154}{10} \\ 2 \times \frac{22}{7} \times r = \frac{154}{10} \\ r = \frac{154 \times 7}{10 \times 2 \times 22} \\ \\ r = \frac{1078}{440} = 2.45$
Radius of cylinder=2.45 cm
$volume \: of \: cylinder \\ \pi r {}^{2} h = \frac{22}{7} \times 2.45 \times 2.45 \times 10 \\ = \frac{22}{7} \times \frac{245}{100} \times \frac{245}{100} \times 10 \\ = \frac{13205500}{70000} \\ = 188.65$
So, volume of cylinder is 188.65cm^3.