Question
8.
You buy a can of soup at the supermarket. The soup can is 15.7 centimeters tall and the volume of the can is 749.8 cubic centimeters. What is the radius of the can? Use 3.14 for π.
The answer is rounded to the nearest tenth.
3.9
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�
3.9cm
49.3
�
�
49.3cm
15.2
�
�
15.2cm
7.6
�
�
7.6cm
You buy a can of soup at the supermarket. The soup can is 15.7 centimeters tall and the volume of the can is 749.8 cubic centimeters. What is the radius of the can? Use 3.14 for π.
The answer is rounded to the nearest tenth.
3.9
�
�
3.9cm
49.3
�
�
49.3cm
15.2
�
�
15.2cm
7.6
�
�
7.6cm
Answers
Bot
To find the radius of the can, we need to use the formula for the volume of a cylinder: V = πr^2h, where V is the volume, r is the radius, and h is the height.
We are given that the height is 15.7 cm and the volume is 749.8 cubic cm, so we can plug those values into the formula and solve for r:
749.8 = 3.14r^2(15.7)
749.8 = 494.938r^2
r^2 = 1.516
r = √1.516
r ≈ 1.2
Therefore, the radius of the can is approximately 1.2 centimeters (rounded to the nearest tenth).
We are given that the height is 15.7 cm and the volume is 749.8 cubic cm, so we can plug those values into the formula and solve for r:
749.8 = 3.14r^2(15.7)
749.8 = 494.938r^2
r^2 = 1.516
r = √1.516
r ≈ 1.2
Therefore, the radius of the can is approximately 1.2 centimeters (rounded to the nearest tenth).