To find the radius of the cylindrical containers, we can first find the volume of a cylinder formula which is V = πr^2h, where V is the volume, r is the radius, and h is the height.
Given that the volume of each cylindrical container is 52in^3 and the height is 5.5in:
52 = πr^2*5.5
r^2 = 52 / (5.5π)
r^2 = 3.74
r = √3.74
r ≈ 1.93 inches
So, the radius of the cylindrical containers is approximately 1.93 inches, which rounds to 1.93 inches to the nearest hundredth.
Therefore, the closest answer choice is B. 1.73 in.
Mayur is in charge of creating themed popcorn containers for a county fair. He plans on creating cylindrical and cone-shaped containers. Each cylindrical container, x, has a volume of 52in3, and each cone-shaped container, y, has a volume of 26in3. Both containers have a height of
5.5in. The system of equations shown can be used to find the number of cylindrical and cone-shaped containers at each snack booth in the fair.
52x + 26y = 7150
x + y = 175
What is the radius, in inches, of the cylindrical containers? Round your answer to the nearest hundredth.
A. 2.12 in
B. 1.73 in
C. 1.50 in
D. 3.01 in
1 answer
1 answer