The ratio between the radius of the base and the height of a cylinder is 2:3.find the total surface area if it's volume is 1617 cm
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Answered by
1
given,
r/h=2/3
let r=3x and h be 2x
Vol. of cylinder=π×r^2×h=1617 cm^3
π×4x^2=1617/π
x^3=1617×7/22×12
x^3=1029/24
x^3=343/8
x=7/2
hence, radius=7cm
and height=21/2 cm
Now,
Total Surface Area=2πrh+2πr^2
=44/7( 245/2 )
=22×35
=770 cm^3
r/h=2/3
let r=3x and h be 2x
Vol. of cylinder=π×r^2×h=1617 cm^3
π×4x^2=1617/π
x^3=1617×7/22×12
x^3=1029/24
x^3=343/8
x=7/2
hence, radius=7cm
and height=21/2 cm
Now,
Total Surface Area=2πrh+2πr^2
=44/7( 245/2 )
=22×35
=770 cm^3
Answered by
0
Let r =2x
Let h = 3x
Volume = 1617
π*r*r*h = 1617
22/7 *2x*2x*3x = 1617
12x^3 = (1617*7)/22
x^3 = (1617*7) / (22*12)
x = √(1617*7)/(22*12)
Put the value of X
Then using the r and the h
Find the total surface area
Let h = 3x
Volume = 1617
π*r*r*h = 1617
22/7 *2x*2x*3x = 1617
12x^3 = (1617*7)/22
x^3 = (1617*7) / (22*12)
x = √(1617*7)/(22*12)
Put the value of X
Then using the r and the h
Find the total surface area
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