The radius and height of a cylinder are in the ratio 7:13 and its volume is 6006 cm
3
. Its radius will be: (Use π=
7
22
)
- A7×
3
3
cm - B6×
3
2
cm - C5×
3
2
cm - D3×
3
2
cm
Solution & Step-by-step Explanation
Let the radius r=7x and the height h=13x.
The formula for the volume of a cylinder is:
V=πr
2
h
Substitute the given values into the formula:
6006=
7
22
×(7x)
2
×(13x)
6006=
7
22
×49x
2
×13x
6006=22×7×13×x
3
6006=2002×x
3
x
3
=
2002
6006
=3
x=
3
3
Now, calculate the radius r:
r=7x=7×
3
3
cm
The formula for the volume of a cylinder is:
V=πr
2
h
Substitute the given values into the formula:
6006=
7
22
×(7x)
2
×(13x)
6006=
7
22
×49x
2
×13x
6006=22×7×13×x
3
6006=2002×x
3
x
3
=
2002
6006
=3
x=
3
3
Now, calculate the radius r:
r=7x=7×
3
3
cm