the radius and its height of cylinder is in the ratio 5:7 and its volume is 550cmsquare find its radius
Answers
Answer:
radius= 5cm and height=7cm
Step-by-step explanation:
Let radius of cyl =5x
height of cyl =7x
Now, volume of cyl= 550cm³
=> πr²h = 550 cm
22/7*(5x)²*(7x) = 550
22/7*(25x²)*7x = 550
Multiply x² and x
x³ = 550*7/22*25*7
x =1
Now, radius=5x
=5*1 =5cm
height =7x
=7*1 =7cm
Step-by-step explanation:
according to the given data
r : h = 5 : 7
volume of the cylinder is 550 centimetre cube
formula for finding volume of the cylinder is πr^2h
so let us take r = 5x
and. h = 7x
volume = πr^2h
550 = 22/7*5x *5x*7x
550 = 22 * 25x^3
550 = 550x^3
x^3 = 550/550
x^3 = 1
x = Cube root of 1
x = 1
r = 5x = 5 * 1 = 5
h = 7x = 7 * 1 = 7.
THAT'S IT
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