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sineoko [7]
3 years ago
15

A sphere has a volume of 288 Pi in^3. Find the surface area of the sphere

Mathematics
1 answer:
lorasvet [3.4K]3 years ago
7 0

Answer:

Step-by-step explanation:

The formula for determining the volume of a sphere is expressed as

Volume = (4/3) × πr³

The volume of the given sphere is expressed as 288π inches³. It means that

(4/3) × πr³ = 288π

4r³/3 = 288

4r³ = 3 × 288 = 864

r³ = 864/4 = 216

Taking cube root of both sides, it becomes

r = 6

The formula for determining the surface area of a sphere is expressed as

Area = 4πr²

π = 3.14

Therefore,

Surface area = 4 × 3.14 × 6² = 452.16 inches²

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The area of a 25 inch TV screen is 300 in.². The area of a 40 inch TV screen is 768 in.². The area of the smaller screen is what
Rina8888 [55]

Answer:

39.0625%

Step-by-step explanation:

The area of a 25 inc TV screen is 300in²

The area of a 40 inch TV screen is 768in²

Percentage of area of the smaller screen to larger screen is;

300/768 × 100 = 39.0625%


5 0
3 years ago
(1 point) Find y as a function of x if
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Y’’(x)= 6x + 1
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7 0
1 year ago
What 2 numbers should be used to find 231 - 198 using the 10 method for subtracting quickly in your head?
Airida [17]

Answer: "Count 2 and then count 31 more."

Step-by-step explanation:

We have the equation:

231 - 198

Now, the negative number is kinda ugly, so i will write it as:

200 - 2 = 198

Is a lot easier work with 200 and 2, than with 198.

Then the equation is now:

231 - (200 - 2)

And the left number we also have a "200", so it can be written as:

200 + 31 = 231

As this is a sum, we can ignore the parentheses.

200 + 31 - 200 + 2

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"Count 2 and then count 31 more."

4 0
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3 0
3 years ago
in 1991, a gallup poll reported this percent to be 79%. using the data from this poll, test the claim that the percent of driver
snow_lady [41]

We reject our null hypothesis, H₀, at a level of significance of =0.01 since the P-value is less than that threshold. There is compelling statistical data to indicate that since 1991, the proportion of drivers who love driving has decreased.

Given,

The Pew Research Center recently polled n=1048 U.S. drivers and found that 69% enjoyed driving their automobiles.

In 1991, a Gallup poll reported this percentage to be 79%. using the data from this poll, test the claim that the percentage of drivers who enjoy driving their cars has declined since 1991.

To report the large-sample z statistic and its p-value,

Null hypothesis,

H₀ : p = 0.79

Alternative hypothesis,

Ha : p < 0.79

Level of significance, α = 0.01

Under H₀

Test statistic,

Z_0= \frac{\hat p - p}{\sqrt{\frac{p(1-p)}{n} }  }

Z₀ = -7.948

The alternative hypothesis(Ha) is left-tailed, so the P-value of the test is given by

P-value = P(z <-7.945)

            = 0.000     (from z-table)

Since the P-value is smaller than given level of significance, α=0.01 we reject our null hypothesis, H₀, at α=0.0.1 level Strong statistical evidence to conclude that the percentage of drivers who enjoy driving their cars has declined since 1991.

To learn more about hypothesis click here:

brainly.com/question/17173491

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5 0
1 year ago
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