Select the best answer for the question. 16. A cylindrical tank has a radius of 15 feet and a height of 45 feet. How many cubic feet of water can the tank hold? Ο Α. 15,896.25 cu. ft. B. 675 cu. ft. C. 127,170 cu. ft. OD. 31,792.5 cu. ft.
Question
Select the best answer for the question. 16. A cylindrical tank has a radius of 15 feet and a height of 45 feet. How many cubic feet of water can the tank hold? Ο Α. 15,896.25 cu. ft. B. 675 cu. ft. C. 127,170 cu. ft. OD. 31,792.5 cu. ft.
Solution
The volume of a cylinder is given by the formula V = πr²h, where r is the radius and h is the height.
Step 1: Substitute the given values into the formula. V = π(15 ft)²(45 ft)
Step 2: Calculate the square of the radius. V = π(225 ft²)(45 ft)
Step 3: Multiply the results. V = π(10,125 ft³)
Step 4: Calculate the volume using the value of π (approximately 3.14159). V = 3.14159(10,125 ft³)
The volume is approximately 31,792.5 cubic feet.
So, the correct answer is D. 31,792.5 cu. ft.
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