A factory wants to fill a conical storage tank with sand. The tank has a height of 23.7 meters and a diameter of 21.4 meters. Calculate the volume of the storage tank to the nearest hundredth
V = π (10.7)^2 (23.7)
= 8524.44
Volume of circular tank = π r^2 h
you know r = 10.7 m and a height of 23.7
just sub those in and evaluate
the answer- 2841.47
so the nearest hundredth-2840.04
conical storage tank
your volume formula is wrong
To calculate the volume of a conical storage tank, you can use the formula:
V = (1/3)πr^2h
where:
V is the volume of the conical tank,
π is a mathematical constant (approximately equal to 3.14159),
r is the radius of the base of the tank, and
h is the height of the tank.
First, let's calculate the radius by dividing the diameter by 2:
r = 21.4 meters / 2 = 10.7 meters
Next, substitute the values of r and h into the volume formula:
V = (1/3)π(10.7 meters)^2(23.7 meters)
V ≈ (1/3)(3.14159)(10.7 meters)^2(23.7 meters)
V ≈ (1/3)(3.14159)(114.49 square meters)(23.7 meters)
V ≈ (1/3)(3.14159)(2714.7513 cubic meters)
V ≈ 2852.70 cubic meters (rounded to the nearest hundredth)
Therefore, the volume of the storage tank is approximately 2852.70 cubic meters.