Question

The volume of a sphere is given by the formula V = 4/3pi r^3 anf the volume of a cylinder with height h and base area A is given by v= what is the volume of the silo to the nearest cubic foot? (A) 5,864 (B)7,959 (C) 20,944 (D) 23,038

Answer 1

B) 7,959

Step-by-step explanation:

To find the radius, we need to isolate r. We can do this by dividing both sides of the equation by πr^2. (4/3)r = h Now, we have the height of the silo in terms of the radius. Next, let's substitute the value of h back into the formula for the volume of a cylinder. V = πr^2h = πr^2((4/3)r) Simplifying the expression, we have: V = (4/3)πr^3 This is the same formula as the volume of a sphere! So, the volume of the silo is equal to the volume of a sphere with radius r. The volume of the silo is closest to the option (B) 7,959. Therefore, the answer is (B) 7,959 cubic feet.