Question

THREE PARTS QUESTION PLEASE HELP EASYY

Philip pours wax into a cylindrical mold to make candles. The dimensions of a finished candle are shown in the diagram below.

PART
A candle shaped like a cylinder is shown. The height of the candle is labeled five and five tenths inches. A dashed line is drawn from the center of the circular base to the edge. The line is labeled three inches.

Question 1
Part A

How much wax does Philip use to make a candle rounded to the nearest cubic inch? Use 3.14 for π.
Enter the correct answer in the box.


Question 2
Part B

Philip spends $0.15 per cubic inch for the wax to make the candles. Approximately how much will it cost him to purchase enough wax to make 14 cylindrical candles?

A) $109.20 dollars


B) $218.40 dollars


C) $325.50 dollars


D) $598.50 dollars


Question 3

Part C
Philip wants to cover the lateral surface of one of the candles with glitter. How many square inches of the candle will he cover with glitter in terms of π?

Enter the correct answer in the box in terms of π.

Answer 1

Part A

Using the formula for the volume of a cylinder,

`V=\pi r^2 h \approx (3.14)(3^2)(5.5)=\boxed{155.43}`

Part B

The total volume of 14 candles is
`(155.43)(14)=2176.02` cubic inches.

So, the cost is
`(2176.02)(0.15) \approx \boxed{\$325.50}`

Part C

Using the formula for the lateral surface area of a cylinder,

`2\pi rh=2\pi(3)(5.5)=\boxed{33\pi}`