Answer:
a. 45 π
b. 12 π
c. 16 π
Step-by-step explanation:
a.
If a 3×5 rectangle is revolved about one of its sides of length 5 to create a solid of revolution, we can see a cilinder with:
Radius: 3
Height: 5
Then the volume of the cylinder is:
V=π*r^{2} *h= π*(3)^{2} *(5) = π*(9)*(5)=45 π
b. If a 3-4-5 right triangle is revolved about a leg of length 4 to create a solid of revolution. We can see a cone with:
Radius: 3
Height: 4
Then the volume of the cone is:
V=(1/3)*π*r^{2} *h= (1/3)*π*(3)^{2} *(4) = (1/3)*π*(9)*(4)=12 π
c. We can answer this item using the past (b. item) and solving for the other leg revolution (3):
Then we will have:
Radius: 4
Height: 3
Then the volume of the cone is:
V=(1/3)*π*r^{2} *h= (1/3)*π*(4)^{2} *(3) = (1/3)*π*(16)*(3)=16 π
Answer:
5.6 quarts
Step-by-step explanation:
x + .15(8) = .50(8+x)
x + 1.2 = 4
.50x + 1.2 = 4
.50x = 2.8
x = 2.8/.50
x = 5.6 quarts
Answer:
$34.27
Step-by-step explanation:
First, we should make everything the same value, so convert the 7.1 miles into meters. (11,423.9 meters). Since we are trying to find a value <em>per</em> 500 meters, divide the 11,423.9 meters by 500 to get 22.8478. Multiply this number by $1.50 to get the value 34.2717 and since we are rounding to the cent, that would be $34.27
So look i know what im talking believe me an u will get it it right the answer is 7824
The answer would be 250000