Question

15. The height and yolume of a cylinder are 4cm and 616cm respectively. Calculate the diameter of the base. (take t = 27 쪽 A. 7cm B. 154cm C. 14cm D. 64cm​

Answer 1

Explanation:

Given that,

• Height of cylinder = 4 cm
• Volume of cylinder = 616 cm³

To find,

• Diameter of the base = ?

Firstly we'll find the base radius of the cylinder.

`\longmapsto\rm{V_((Cylinder)) = \pi r^2h}\\`

According to the question,

`\longmapsto\rm{616= (22)/(7) * r^2 * 4}\\`

`\longmapsto\rm{616 * 7 = 22 * r^2 * 4}\\`

`\longmapsto\rm{4312 = 88 * r^2 }\\`

`\longmapsto\rm{\cancel{(4312)/(88)} = r^2 }\\`

`\longmapsto\rm{49 = r^2 }\\`

`\longmapsto\rm{√(49) = r }\\`

`\longmapsto\rm{7 \; cm = r }\\`

Now,

`\longmapsto\rm{Diameter = 2r }\\`

`\longmapsto\rm{Diameter = 2(7 \; cm) }\\`

`\longmapsto\bf{Diameter = 14 \; cm}\\`

The required answer is 14 cm.