2 Answers

Markie · Answer 1 · 2020-05-22T05:16:04+0000

Answer:

The height of the cylinder is
$h=4\ units$

Explanation:

we know that

The volume of a cylinder is equal to

$V=\pi r^(2)h$

Case 1) If the volume is equal to
$V=201\ units^(3)$

we have

$r=4\ units$

substitute the values and solve for h

$201=\pi (4^(2))h$

$h=201/(3.14*16)=4\ units$

Case 2)

If the volume is equal to
$V=201\pi\ units^(3)$

we have

$r=4\ units$

substitute the values and solve for h

$201\pi=\pi (4^(2))h$

simplify

$h=201/16=12.56\ units$

ClaOnline · Answer 2 · 2020-05-25T15:31:01+0000

Answer: 4 units

Explanation:

We know that the volume of a cylinder with radius r and height h is given by :-

$\text{Volume}=\pi r^2 h$

Given: The radius of the cylinder = 4 units

The volume of the cylinder = 201 cubic units

Now, the substitute the value in the above formula ,we get

$201=(3.14) (4)^2 h\\\\\Rightarrow\ h=(201)/(16*3.14)\\\\\Rightarrow\ h=4.0007961\approx4\text{ units]$

Hence, the height of the cylinder = 4 units

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