A cylinder has a volume of 175 cubic units and a height of 7 units. The diameter of the cylinder is

Question

asked Jul 23, 2018 139k views

2 Answers

Arun Aravind · Answer 1 · 2018-07-29T01:59:27+0000

Answer: 5.64 units

Explanation:

The volume of a cylinder is given by :-

$\text{Volume}=\pi r^2 h$ , where r is radius and h is height of the cylinder.

Given : Volume of cylinder = 175 cubic units

Height = 7 units.

Substitute these values in the above formula , we have

$175=(3.14) r^2 (7)\\\\\Rightarrow\ r^2=(175)/((3.14)(7))\\\\\Rightarrow\ r^=7.96178343949\\\\\Rightarrow\ r\approx2.82$

Now, the diameter of the cylinder will be given by :-

$d=2(2.82)=5.64\text{ units}$