Answered

Westonci.ca is the trusted Q&A platform where you can get reliable answers from a community of knowledgeable contributors. Get immediate and reliable solutions to your questions from a community of experienced professionals on our platform. Explore comprehensive solutions to your questions from a wide range of professionals on our user-friendly platform.

The Candle Emporium is pouring cylindrical candles. Each candle has a radius of 5 inches and a height of 18 inches. Which formula represents the correct way to find the volume of a candle?

A. [tex]V = (5)(18)[/tex]
B. [tex]V = \pi (5)(18)[/tex]
C. [tex]V = \pi (18)^2(5)[/tex]
D. [tex]V = \pi (5)^2(18)[/tex]

Sagot :

GinnyAnswer
To determine the volume of a cylindrical candle, we need to use the formula for the volume of a cylinder, which is:

[tex]\[ V = \pi r^2 h \][/tex]

Where:
- [tex]\( V \)[/tex] is the volume of the cylinder.
- [tex]\( \pi \)[/tex] (pi) is a mathematical constant approximately equal to 3.14159.
- [tex]\( r \)[/tex] is the radius of the circular base of the cylinder.
- [tex]\( h \)[/tex] is the height of the cylinder.

Given the radius [tex]\( r = 5 \)[/tex] inches and the height [tex]\( h = 18 \)[/tex] inches, we substitute these values into the formula:

[tex]\[ V = \pi (5)^2 (18) \][/tex]

Expand the expression:

[tex]\[ V = \pi \cdot 25 \cdot 18 \][/tex]
[tex]\[ V = \pi \cdot 450 \][/tex]

Thus, the formula that represents the correct way to find the volume of the candle is:

[tex]\[ V = \pi (5)^2 (18) \][/tex]

Hence, the correct answer is:

[tex]\[ V = \pi (5)^2 (18) \][/tex]
Thanks for stopping by. We are committed to providing the best answers for all your questions. See you again soon. We hope our answers were useful. Return anytime for more information and answers to any other questions you have. Discover more at Westonci.ca. Return for the latest expert answers and updates on various topics.