Tanya stores her coins in a cylindrical container. The container has a diameter of 8 inches and a height of 15 inches. Which is the volume of Tanya's container to the nearest cubic inch?
The radius of the cylinder is half of the diameter, so it is 4 inches.
The formula for the volume of a cylinder is V = πr^2h, where V is the volume, r is the radius, and h is the height.
Plugging in the values, we get:
V = π(4 inches)^2(15 inches) ≈ 753.98 cubic inches
Rounding to the nearest cubic inch, Tanya's container has a volume of 754 cubic inches.
To find the volume of the cylindrical container, we can use the formula:
Volume = π * (radius)^2 * height
Given that the diameter is 8 inches, the radius can be calculated by dividing the diameter by 2:
Radius = 8 inches / 2 = 4 inches
Substituting the values into the formula, we have:
Volume = π * (4 inches)^2 * 15 inches
Simplifying the equation:
Volume = 3.14 * 16 square inches * 15 inches
Volume = 753.6 cubic inches (rounded to the nearest cubic inch)
Therefore, the volume of Tanya's container is approximately 754 cubic inches.