1. To store his grain, Larry is building a cylindrical silo that must have a volume of 65 m ^3. The height of the silo must be 6 m. What is the radius? Please show your work, so I know what steps I need to take to get the answer :)2. Determine the volume of water that would fill a square based pyramid with a base length of 8 cm and a height of 7.5 cm.Thank You For Any Help!!!!!
1. The formula to calculate the volume of a cylinder is V = pi*r^2*h. V = 65 m^3, h = 6 m 65 m^3 = pi*r^2*6 m, divide by 6 10.83 m^2 = pi*r^2, divide by pi 3.45 m^2 = r^2, take the square root r = 1.857 m, the radius of the silo should be 1.86 meters 2. Formula for the volume of a square based pyramid is V = b^2*h/3. b = 8cm, h = 7.5 cm. V = (8^2) cm^2*7.5 cm/3 = 480 cm^3 / 3 = 160 mL
1. V = height * A base 65 = 6 * A base A base = 65/6m^2 65/6 = r^2 pi r^2 = (65/6) / pi = 3.45 (approx.) r = sqrt(3.45) = 1.857m (approx.) 2. Since base is square, A base = 8^2 = 64cm^2 V pyramid = (Abase * height) / 3 V = (64 * 7.5) / 3 = 480/3 = 160 cm^3 Answer: Volume of water would be 160cm^3.
