Answer:
- hemisphere volume: 262 m³
- cylinder volume: 942 m³
- composite figure volume: 1204 m³
Step-by-step explanation:
A. The formula for the volume of a hemisphere is ...
V = (2/3)πr³
For a radius of 5 m, the volume is ...
V = (2/3)π(5 m)³ = 250π/3 m³ ≈ 261.799 m³
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B. The formula for the volume of a cylinder is ...
V = πr²h
For a radius of 5 m and a height of 12 m, the volume is ...
V = π(5 m)²(12 m) = 300π m³ ≈ 942.478 m³
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C. Then the total volume is ...
V = hemisphere volume + cylinder volume
V = 261.799 m³ +942.478 m³ = 1204.277 m³
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Rounded to the nearest integer, the volumes are ...
- hemisphere volume: 262 m³
- cylinder volume: 942 m³
- composite figure volume: 1204 m³
_____
As a rule, you only want to round the final answers. Here, the numbers are such that rounding the intermediate values still gives the correct final answer. That is not always the case.
Answer:
40 comic books
Step-by-step explanation:
Let x be the Jill comic books.
Given:
Jill sold half of her comic books and then bought sixteen more. She now has 36.
Therefore the algebraic equation of the given statement.
--------(1)
Now we solve above equation for x.
Subtract by 16 both side of the equation 1.
Multiply by 2 both side of the above equation.
Therefore, Jill had 40 comic books.
Answer:
1 and 7/12 hours
Step-by-step explanation:
2 and 1/3 is the whole. You need to subtract 3/4. To bring both of these to the same denominator, multiply each fraction by the others denominator. That means 1/3 is now 4/12 and 3/4 is now 9/12. They can now be subtracted. 2 and 4/12 - 9/12 = 1 and 7/12.
Answer:
Yeah.it is right
Step-by-step explanation:
Answer:
x = 105.4
Step-by-step explanation:
We are given;
Log 3 + log x = 5/2
We are required to find x;
We are going to use the laws of logarithms to solve for x
That is;
log a + lob b = log(ab)
Therefore;
Log 3 + log x = 5/2
we get;
log 3x = 2.5
But;
Given, logₐb= x , then b = a^x
In this case;
log 3x = 2.5
we get , 3x = 10^2.5
That is , 3 x = 316.227
x = 105.4
Thus, the value of x is 105.4
