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

Step-by-step 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,

$\longmapsto\rm{616= \dfrac{22}{7} \times r^2 \times 4}$

$\longmapsto\rm{616 \times 7 = 22 \times r^2 \times 4}$

$\longmapsto\rm{4312 = 88 \times r^2 }$

$\longmapsto\rm{\cancel{\dfrac{4312}{88}} = r^2 }$

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

$\longmapsto\rm{\sqrt{49} = r }$

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

Now,

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

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

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

The required answer is 14 cm.