The base radius and the height of a cylinder are in the ratio 5:7.if the volume of the cylinder is 550 cubic cm, find the radius of the base of the cylinder.
Answers
Answered by
66
Required Answer :-
Given :-
- Ratio of base radius and height of a cylinder = 5:7
- Volume of a cylinder = 550 cm³
To Find :-
- Radius of the base of a cylinder?
Solution :-
Let base radius and height of a cylinder be 5y and 7y.
We know that formula of volume of cylinder is given by,
Putting all values,
Radius of base ::
- r = 5y
- r = 5 * 1
- r = 5 cm
Henceforth, radius of base of a cylinder is 5 cm.
Important Formulae :-
↠ TSA of cube = 6a²
↠ CSA of cube = 4a²
↠ Volume of cube = a³
↠ TSA of cuboid = 2(lb + bh + hl)
↠ CSA of cuboid = 2(l + b)h
↠ Volume of cuboid = l × b × h
↠ TSA of cylinder = 2πr(r + h)
↠ CSA of cylinder = 2πrh
↠ Volume of cylinder = πr²h
↠ Volume of hollow cylinder = πh(R²-r²)
↠ TSA of cone = πr(l + r)
↠ CSA of cone = πrl
↠ Volume of cone = 1/3πr²h
↠ SA of sphere = 4πr²
↠ Volume of sphere = 4/3πr³
↠ TSA of hemisphere = 3πr²
↠ CSA of hemisphere = 2πr²
↠ Volume of hemisphere = 2/3πr³
▅▅▅▅▅▅▅▅▅▅▅▅▅▅▅▅▅▅▅▅▅▅▅▅▅▅
Similar questions