Direction: Solve the two given problems involving volume of solid figures. (5pts each). 1. How much sand is needed to fill a pit that is 5m deep and 6m wide and 8m long? 2. What is the volume of a regular cylinder whose base has a radius of 3cm and a height of 14 cm?
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Answer:
Step-by-step explanation:
1. To find the volume of the pit, we need to find the product of its length, width, and depth.
Volume = length x width x depth
Volume = 8m x 6m x 5m
Volume = 240 cubic meters
Therefore, 240 cubic meters of sand is needed to fill the pit.
2. The formula for the volume of a cylinder is V = πr^2h, where r is the radius of the base and h is the height.
V = πr^2h
V = π(3cm)^2(14cm)
V = 396 cm^3
Therefore, the volume of the cylinder is 396 cubic centimeters.