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A cylinder with radius 4 units is shown below. Its volume is 201 cubic units.Find the height of the cylinder.

2 Answers

7 votes

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

User Markie
by
6.3k points
3 votes

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

User ClaOnline
by
6.2k points