Question

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]​

Answer 1

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Answer 2

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