Answer:
≈ 8 cm
Step-by-step explanation:
The fomula for the volume of a cylinder is
[tex] \sf V = πr^2h[/tex]
Where ;
- V is the volume
- π is a constant approximately equal to 3.14
- r is the radius
- h is the height.
Given:
- Volume (V) is 503 cm^3
- Height (h) is 10 cm
we can rearrange the formula to solve for the radius (r):
[tex] \sf r = \sqrt{ \frac{V} {(πh)}}[/tex]
Plugging in the values, we get:
[tex] \sf {r = \sqrt{ \frac{503}{3.14 x 10} }}\\
\sf r ≈ √(16.05) \\
\sf r ≈ 4 cm[/tex]
Now, the diameter (d) is twice the radius (r):
d = 2r
d = 2 x 4 cm
d = 8 cm
So, the diameter of the cup is approximately 8 cm, rounded to the nearest whole number.
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