A cylindrical container has a diameter of 12 inches and a height of 15 inches, as illustrated in the accompaying diagram. What is the volume of this container to the nearest tenth of a cubic inch?
vol. = pi(r^2)h
= pi(36)(15)
= 540pi or 1696 to the nearest unit
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thanks so much
To find the volume of a cylindrical container, we need to use the formula V = πr^2h, where V is the volume, π is a mathematical constant approximately equal to 3.14159, r is the radius, and h is the height.
In this case, we are given the diameter of the container, which is 12 inches. To find the radius (r) of the container, we divide the diameter by 2. So, r = 12/2 = 6 inches.
The height of the container is given as 15 inches.
Now we can substitute the values into the formula:
V = π(6)^2(15)
Calculating the value:
V = 3.14159 × (6)^2 × 15
V ≈ 3.14159 × 36 × 15
V ≈ 1696.3424 cubic inches
Therefore, the volume of the cylindrical container is approximately 1696.3 cubic inches.