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:
196 gal/minute
Step-by-step explanation:
divide the time by the amount of gallons
Answer:
l-60 – 13| = |-73| = 73 units
Step-by-step explanation:
Required
Distance between -60 and 13
Using absolute values, distance is calculated as:
Where
So, we have:
Take absolute value of -73
<em>Hence, option A answers the question</em>
Answer:
Right Triangles and the Pythagorean Theorem
1.The Pythagorean Theorem, a2+b2=c2, a 2 + b 2 = c 2 , can be used to find the length of any side of a right triangle.
2.The side opposite the right angle is called the hypotenuse (side c in the figure).
I would do 12 x 10 = 120
to compensate do 120 - 12 =108 same as 12*9 = 108
The estimate is decent, because we are only $12.00 from the real answer.
