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A pillar candle is shaped like a cylinder with a radius of 1.5 inches. The candle holds 123 cubic inches of wax. How tall is the candle? Use 3.14 for pi. Round your answer to the nearest hundredth

ANSWERS SHOW YOUR WORK IN BABY STEPS SO IUNDERSTAND PLZ and thankyou

12.50 in
15.76 in
17.41 in
18.76 in

User Jtmnt
by
6.0k points

2 Answers

4 votes

Answer:

17.41

Explanation:

v= pi r ^2 h

123 = (3.14) (1.5)^2 h

123 = (3.14) (2.25) h

123 = (7.065) h

123/7.065 = 7.065 h/ 7.065

17.41 = h

User Maq
by
5.9k points
3 votes

Hey!

The formula for finding volume of a cylinder is π · r² · h

π is equal to 3.14

The radius is 0.5 inches. 1.5² = 1.5 × 1.5 = 2.25

Multiply the radius² by π and divide that amount by 123 to find the height. You have to do this because if you wan to make the height the subject, then you have to multiply the radius² and 3.14(π) and divide that by the volume.


2.25 * 3.14 = 7.065 \\ 123 / 7.065 = 17.41

That means your answer is 17.41 in

Good luck and hope this helps!

User Coolbreeze
by
5.1k points