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A water bottle has a height of 16 inches and a radius of 4 inches. What is the volume, in cubic inches, of the water bottle?

cubic inches

2 Answers

1 vote

Final answer:

To find the volume of the water bottle, one can use the formula for the volume of a cylinder, V = πr²h. With a radius of 4 inches and a height of 16 inches, the volume is calculated to be approximately 804.25 cubic inches.

Step-by-step explanation:

The volume of a cylindrical water bottle can be calculated using the formula for the volume of a cylinder, which is V = πr²h. Here, 'r' represents the radius of the cylinder's base, and 'h' represents the height of the cylinder. Given the radius of 4 inches and the height of 16 inches, the volume (V) can be calculated by plugging these values into the formula:

V = π × (4 inches)² × 16 inches

First, compute the area of the base (circle):

Base Area = π × (4 inches)² = π × 16 inches² = 50.2656 inches² (approximating π as 3.1416)

Now, multiply the base area by the height to find the volume:

V = 50.2656 inches² × 16 inches = 804.2496 cubic inches

Therefore, the volume of the water bottle is approximately 804.25 cubic inches.

User Mehmet Taha Meral
by
8.4k points
3 votes

Answer: 4 cubic inches.

Step-by-step explanation: since the height of the water bottle is 16, and a radius of 4 inches, 4x4=16, the volume in cubic inches is 4.

TIP: you can also divide 16 by 4.

User Alexander Gessler
by
8.1k points

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