A factory wants to fill a conical storage tank with sand. The tank has a height of 19.5 meters and a diameter of 30.7 meters.
Calculate the volume of the storage tank to the nearest hundredth.
What’s the answer
volume of anything with straight sides and a pointy top
= (1/3) base area * height
volume of cone = 1/3 pi R^2 h
(1/3) * 3.14159 * 15.35^2 * 19.5
WTH
volume of anything with straight sides and a pointy top
= (1/3) base area * height
volume of cone = 1/3 pi R^2 h
(1/3) * 3.14159 * 15.35^2 * 19.5
A factory wants to fill a conical storage tank with sand. The tank has a height of 19.5 meters and a diameter of 30.7 meters.
To calculate the volume of a conical storage tank, you can use the formula for the volume of a cone, which is V = 1/3 * π * r^2 * h, where V is the volume, π is a mathematical constant representing approximately 3.14159, r is the radius of the base of the cone, and h is the height of the cone.
To find the radius, divide the diameter by 2. So in this case, the radius (r) would be 30.7 / 2 = 15.35 meters.
Now that we have the height (h) and the radius (r), we can plug these values into the formula and calculate the volume (V).
V = 1/3 * π * 15.35^2 * 19.5
Using a calculator, we can evaluate this expression:
V ≈ 1/3 * 3.14159 * 15.35^2 * 19.5 ≈ 1/3 * 3.14159 * 236.4225 * 19.5 ≈ 0.5236 * 236.4225 * 19.5 ≈ 2464.176
Therefore, the volume of the storage tank is approximately 2464.18 cubic meters to the nearest hundredth.