Question

The radius and height of a cylinder are in the ratio 3:2 and its volume is 2772
cm3. Find its radius and height

Answer 1

${\pink{\mathfrak{hola!}}}$

Let radius be 3x
and height be 2x

Volume of cylinder=πr²h

2772=22/7×(3x)²×2x

2772=22/7×9x²×2x

2772=22/7×18x³

2772/22=126x³

126=126x³

x³=126/126

x³=1

x=³√1

x=1cm


${\blue{Radius=3cm}}$

${\red{Height=2cm}}$

$<marquee behaviour=""direction="left">$#Bebrainly❤️☺️

Answer 2

Answer:

Let radius be 3x

and height be 2x

Volume of cylinder=πr²h

2772=22/7×(3x)²×2x

2772=22/7×9x²×2x

2772=22/7×18x³

2772/22=126x³

126=126x³

x³=126/126

x³=1

x=³√1

x=1cm

RADIUS = 3cm

HEIGHT = 2cm