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
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49.3cm
15.2
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15.2cm
7.6
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7.6cm
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).
Well, well, well, let's soup up our math skills, shall we? To find the radius of the can, we need to do a little cracking. First, let's find the volume of the can by using the formula for the volume of a cylinder, V = πr^2h. Given that the volume is 749.8 cubic centimeters and the height is 15.7 centimeters, we can rearrange the equation to solve for the radius.
Now, let's put on our math clown hats and get this show started. We have:
749.8 = πr^2 * 15.7
To find the radius, let's divide both sides by 15.7π:
749.8 / (15.7π) = r^2
Now, if we do some number crunching, we get:
7.6 = r^2
Oh, look at that! We have an equation that's perfect for square roots. Taking the square root of both sides, we find:
√7.6 = r
Rounding to the nearest tenth, we get approximately 2.8 (very close to 3, but not quite there!).
So, my friend, the radius of the can of soup is 2.8 centimeters. Time to dig in!
To find the radius of the can, we can use the formula for the volume of a cylinder:
Volume = π * r^2 * h
Given that the volume of the can is 749.8 cubic centimeters and the height is 15.7 centimeters, we can substitute these values into the formula and solve for the radius.
749.8 = 3.14 * r^2 * 15.7
Dividing both sides of the equation by (3.14 * 15.7) gives:
r^2 = 749.8 / (3.14 * 15.7)
r^2 = 15.077707
Taking the square root of both sides, we find:
r ≈ √15.077707
r ≈ 3.88
Rounding to the nearest tenth, the radius of the can is 3.9 cm.
Therefore, the correct answer is: 3.9 cm.
To find the radius of the can, we can use the formula to calculate the volume of a cylinder:
Volume = π * r^2 * h
where π is the mathematical symbol for pi (approximately 3.14), r is the radius of the base of the can, and h is the height of the can.
In this case, the volume of the can is given as 749.8 cubic centimeters, and the height is given as 15.7 centimeters. We can plug these values into the formula and solve for the radius.
749.8 = 3.14 * r^2 * 15.7
To find the radius, we need to isolate the variable r. Let's go through the steps:
1. Divide both sides of the equation by 3.14 * 15.7 to get rid of the constants:
749.8 / (3.14 * 15.7) = r^2
2. Simplify the right side of the equation:
749.8 / (3.14 * 15.7) = r^2
15 = r^2
3. Take the square root of both sides to solve for r:
√(15) = √(r^2)
√(15) = r
Now, let's calculate the square root of 15 to find the radius:
√(15) ≈ 3.9
So, the radius of the can is approximately 3.9 centimeters.