Answer:
7.6 rectangular prisms
Explanation:
1- getting volume of rectangular prism:
volume of rectangular prism = length * width * height
volume of rectangular prism = 4 * 2 * 2 = 16 ft³
2- getting the volume of the cylinder:
volume of cylinder = π * r² * h
volume of cylinder = π * (2.5)² * 6 = 117.75 ft³
3- Now we want to know how many rectangle prisms are required to hold the exact amount of hale as the cylinder.
This means that we want the volume of hale to be equal in the two situations.
Assume the number of prisms required is x
x * volume of prism = volume of cylinder
x * 16 = 117.75
x = 7.35 which is approximately 7.6 rectangular prisms
Hope this helps :)
The voolume of a cone is given by the formula:
You know the volume, the radius, and pi. Substitute those values into the formula and solve for h, the height.
h = 21.97 in.
X= number of nickels
3x= number of dimes
Each nickel is $0.05 and each dime is $0.10. Multiply each coins monetary value by the quantity of each. Add them equal to the total $9.10.
(0.05 * x) + (0.10 * 3x)= 9.10
multiply inside parentheses
0.05x + 0.3x= 9.10
add
0.35x= 9.10
divide both sides by 0.35x
x= 26 nickels
DIMES
3x= 3(26)= 78 dimes
CHECK:
(26 nickels * 0.05) + (78 dimes * 0.10)= 9.10
$1.30 + $7.80= $9.10
$9.10= $9.10
ANSWER: There are 26 nickels and 78 dimes.
Hope this helps! :)
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