The volume of a cone of height 5cm is 753.6cm³.The cone and cylinder have equal radii and height . find the total surface area of cylinder.[π=3.14]
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Solution
Given,
- the volume = 753.6
- the height = 5 cm
- given value of Pi = 3•14
To find ,
- how to find here the total surface area of the cylinder
So,
the volume of cone = 1/3 πr^2 h
=> 753.6=1/3πr^2h
=> r^3 = 144
=> r^3 = 12
Now ,
the total surface area of cylinder ;
2πr^2 + 2πrh
= 2×3.14 ×12(12+5)
= 1281.12
The TSA of cylinder is 1281.12 .
✨Additional information✨
- volume of Cylinder = πr^2 h
- surface area = 2πrh + 2πr^2
- lateral area = 2πrh
- base area = πr^2
- height = v/πr^2
- radius = √v/πh
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