Question
Wangshu designed a candle for her online store. The candle will be composed of a rectangular prism and a cylinder, as shown in the image.
Wangshu needs to calculate the volume of the candle to determine the materials cost and the retail price for the candle.
What is the volume, in cubic centimeters, of the candle that Wangshu designed?
Use
for
. Round the answer to the nearest tenth of a cubic centimeter.
Responses
A
B
C
D
To calculate the volume of the candle, we need to calculate the volumes of the rectangular prism and the cylinder separately, and then add them together.
Volume of rectangular prism = length x width x height
Volume of rectangular prism = 10 cm x 5 cm x 6 cm
Volume of rectangular prism = 300 cubic cm
Volume of cylinder = πr^2h
Given that the diameter of the cylinder is 5 cm (so the radius is 2.5 cm) and the height is 6 cm:
Volume of cylinder = π x (2.5 cm)^2 x 6 cm
Volume of cylinder = π x 6.25 cm^2 x 6 cm
Volume of cylinder = 37.5π cubic cm
Total volume = Volume of rectangular prism + Volume of cylinder
Total volume = 300 cubic cm + 37.5π cubic cm ≈ 418.7 cubic cm
Therefore, the volume of the candle that Wangshu designed is approximately 418.7 cubic centimeters. The answer is closest to C.