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
The answer would be 5,318,000 more barrels were consumed by the U.S than Japan
Hello There!
.84 ÷ .02 ≈ 42
WORK SHOWN IN IMAGE ATTACHED
Answer:
Length = 12cm
Step-by-step explanation:
The dimensions of the recatngle is:
- width → x
and
- length → x+7
The area of a rectangle follows the formula: length*width
Meaning: x * (x + 7) = 60
Expand that: x^2 + 7x = 60
Rearragne the equation and factorise it
(x-5)(x+12) = 0
The width cannot be a negative value, so the answer must be 5.
Remember that x was the width and the length is the width add the 7.
So the length is 12 cm.
