Question

Find the volume of a right circular cylinder if-
(I) radius of its base = 7 cm, height = 1.5 dm
(ii) area of base = 154 cm2, height = 1.5 cm
ii) circumference of base = 1.32 m, height = 25 cm​

Answer 1

$volume \ of \ cylinder = \pi r^2 h\\\\(I)\ r = 7 \ cm , \ height = 1.5 \ dm = 15 \ cm\\\\vol = 22/7 * 7 * 7 * 15 = 22 * 7 * 15 = 2310 \ cm^3\\\\(II) \ area \ of \ base(area\ of \ circle = \pi r^2) = 154 \ cm^2 , \ height = 1.5 \ cm\\\\vol = area \ of base * height \\\\vol = 154 * 1.5 = 231 \ cm^3 \\\\(III) \ circumference ( 2\pi r) = 1.32 \ m = 132 \ cm\ , height = 25 \ cm\\\\2\pi r = 132\\\\r = 132 * 7/22 * 1/2 = 21 \ cm\\\\vol = 22/7 * 21 * 21 * 25 = 34650\ cm^3\\\\hope\ it\ helps..!$

Answer 2

Step-by-step explanation:

volume of cylinder=πr

2

h

(I) r=7 cm, height=1.5 dm=15 cm

vol=22/7∗7∗7∗15=22∗7∗15=2310 cm

3

(II) area of base(area of circle=πr

2

)=154 cm

2

, height=1.5 cm

vol=area ofbase∗height

vol=154∗1.5=231 cm

3

(III) circumference(2πr)=1.32 m=132 cm ,height=25 cm

2πr=132

r=132∗7/22∗1/2=21 cm

vol=22/7∗21∗21∗25=34650 cm

3

hope it helps..!