Question

Mary wants to fill in a cylinder vase. At the flower store they told her that he vase should be filled 4/5 for the flowers to last the longest. Her cylinder vase has a radius of 4 inches and a height of 6 inches. How much water should Mary pour into the vase? Can you please provide the steps to solving this word problem.

Answer 1

Find 3/4 of the height:

Height = 10 inches

3/4 of the height = 3/4 x 10 = 7.5 inches

Find the amount of water she should fill:

Volume = πr²h

Volume = π(4)²(7.5) = 377.14 in³

Answer: Mary should pour in 377.14 in³ of water.

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Answer 2

Step-by-step explanation:

Volume of vase = πr^2h

=22/7 × (4in)^2 × 6in

=22/7 × 16 in^2 × 6 in

=2112/7 in^3

4/5 of 2112/7 in^3=8448/35 in^3

Therefore, Mary should fill the vase with 3.95537 l of water.