The surface area of this sphere is 1,519.76 square feet. What is the volume of this sphere?Use ग ≈ 3.14 and round your answer to the nearest hundredth.

Answers

Answer 1
Answer:

Answer:  5572.45 cubic feet

Work Shown:

Use the surface area to determine the radius.

SA = 4*pi*r^2

1519.76 = 4*3.14*r^2

1519.76 = 12.56*r^2

r^2 = 1519.76/12.56

r^2 = 121

r = sqrt(121)

r = 11

The radius of the sphere is 11 feet.

Now we can determine the volume of the sphere.

V = (4/3)*pi*r^3

V = (4/3)*3.14*11^3

V = 5572.45333333333

V = 5572.45

The volume of the sphere is approximately 5572.45 cubic feet.

The result is approximate because pi = 3.14 is approximate.


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Find 4 consecutive odd integers whose sum is 232

Answers

4 consecutive odd integers whose sum is 232 are : 55, 57, 59, 61

How to find the sum of consecutive integers?

1 + 2 + 3 + ... + n = (n(n+1))/(2)

Let the first integer be x and x is an odd number.

Let Four consecutive odd integers are;

x, x + 2, x + 4, x + 6

(x) + (x + 2) + (x + 4) + (x + 6) = 232

4x + 12 = 232

4x = 232 - 12

4x = 220

x = 220/4

x = 55

x + 2 = 55 + 2 = 57

x + 4 = 55 + 4 = 59

x + 6 = 55 + 6 = 61

The numbers are : 55, 57, 59, 61

Learn more about the concept here;

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 4 consecutive odd integers...
x, x + 2, x + 4, x + 6

(x) + (x + 2) + (x + 4) + (x + 6) = 232
4x + 12 = 232
4x = 232 - 12
4x = 220
x = 220/4
x = 55

x + 2 = 55 + 2 = 57
x + 4 = 55 + 4 = 59
x + 6 = 55 + 6 = 61

so ur numbers are : 55, 57, 59, 61

What times what equals 12 but still equals 11? the equation is 5n to the 2nd power + 19+12

Answers

OKay first you have to combine your like terms 19+12=31 then you have to divide by 5n squared which would be 6.2

St=18 and s = -4 where could T be located ?

Answers

Answer:

14 or -22

Step-by-step explanation:

st=18

s=-4

-4+18=14

so t can be  at 14

or -4-18=-22

t can be at -22

What is the slope of (2,3) , (6,7)

Answers

Answer:

If you're given two points (x1, y1) and (x2, y2), the slope is (y2 - y1)/(x2 - x1);

We have ( 7 - 3 )/(6 - 2) = 4 / 4 = 1;

Step-by-step explanation:


Answer:

4/4=1

Step-by-step explanation:

Find the volume of the triangular prism shown in the diagram. The unlabeled point is F (0,0,1) . Outline your steps to explain the process you used.

Answers

Volume = (LWH)/2
Length = Difference between the two x values
Using A (4, 3, 1) an B (0, 3, 1) we can use these two x values to find the length of the triangular prism
4 - 0 = 4
Length = 4
Width = This is exactly the same process, however we use the y values
Using E (4, 0, 1) and A (4, 3, 1) we can use the two y values to find the width
3 - 0 = 3
Width = 3
Height = Again, the same but using the z values
Using E (4, 0, 1) and D (4, 0, 5) we can find the difference
5 - 1 = 4
Height = 4

Now we have all out values, we can put them in the formula to work out the volume.
(4 x 3 x 4)/2
48/2
24 (units)³

Stanley puts $100 in the bank for two years at 5 % interest compounded annually. Atthe end of the two years, what is his balance?

Answers

100*0.05=5 <-- interest earned per year

100+5=105 <-- at the end of one year

105 + 5=110 <-- at the end of two years

His balance will be $110.

The answer is $110. Hope I could help! :D