We can put 0, 1 and 2 for x then y will be :
0, -4 and -8
good luck
Answer:
19
Step-by-step explanation:
Answer:
Height: 8.471
Volume: 2245.641cm3
Step-by-step explanation:
To solve this problem we need to find the volume of the cone, then the volume of the semi sphere, and then, sum all together.
To obtain the volume of the cone, we need to focus our attention in the triangle that already was given to us, since its height is the same as the height of the cone.
We can use the tan(26,7) since it relates the radius of the cone, and its height.
This gives us. h=9/tan(27,9)= 8.471 cm
The volume of the cone is then. 718.629cm3
The volume of the spehere is 1527.012 cm3
FInally the volumen of the toy is the sum of both volumes previously obtained:
2245.641cm3.
Refer the attached picture for a more detailed procedure.
Answer:
The volume of the solid is 243
Step-by-step explanation:
From the information given:
BY applying sphere coordinates:
0 ≤ x² + y² + z² ≤ 81
0 ≤ ρ² ≤ 81
0 ≤ ρ ≤ 9
The intersection that takes place in the sphere and the cone is:
Thus; the region bounded is: 0 ≤ θ ≤ 2π
This implies that:
ρcosФ = ρsinФ
tanФ = 1
Ф = π/4
Similarly; in the X-Y plane;
z = 0
ρcosФ = 0
cosФ = 0
Ф = π/2
So here;
Thus, volume:
V = 243
It would take 10.7 years.
The formula for continuously compounded interest is:
where P is the principal, r is the interest rate as a decimal number, and t is the number of years.
Using our information we have:
We want to know when it will double the principal; therefore we substitute 2P for A and solve for t:
Divide both sides by P:
Take the natural log, ln, of each side to "undo" e:
Divide both sides by 0.065: