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
first you have to add the -4 to the -2 and you get 2. so 2x=2 then you divide 2 by 2x and get x=1
Sorry i dont know the answer but i can help you with your other questions
Answer:
17.9 units is the answer
Step-by-step explanation:
points are (-7,-2) and (9,6)
Pythagorean theorem can be written as,
Rounding off,
d = 17.9 units
Answer:
4 units
Step-by-step explanation:
It would be 4 units because the units can't be negative if you are asking for the distance between them.
