A sphere has a volume of 850 m^3 find its surface area
1 answer:
Answer:
SA ≈ 434.5 cm²
Step-by-step explanation:
The volume (V) of a sphere is calculated as
V = πr³ ( r is the radius )
The surface area (SA) is calculated as
SA = 4πr²
To find r use the volume formula
πr³ = 850 ( multiply both sides by
to clear the fraction )
πr³ = 637.5 ( divide both sides by π )
r³ = ( take the cube root of both sides )
r = ≈ 5.88 cm ( to 2 dec. places )
Then
SA = 4π × 5.88² ≈ 434.5 cm² ( to 1 dec. place )
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Answer:
0.02275
Step-by-step explanation:
We have been given that the time needed to complete a final examination in a particular college course is normally distributed with a mean of 80 minutes and a standard deviation of 10 minutes. We are asked to find the probability of completing the exam in one hour or less.
We know that 1 hour equals 60 minutes. First of all, we will find the z-score corresponding to 60 minutes.
z = z-score,
x = Sample score,
= Mean,
= Standard deviation.
Now, we will use normal distribution table to find area under z-score of as:
Therefore, the probability of completing the exam in one hour or less is 0.02275.