Answer:
2000π in³/s
or 6283.2 in³/s
Step-by-step explanation:
dr/dt = 5
volume of sphere is given as
v = (4/3)(π)r³
differentitate wrt r
dv/dr = 3×4/3 ×π×r²
dv/dr = 4πr²
put r = 10
dv/dr = 4π(10)²
dv/dr = 400π
by chain rule
dv/dt = dv/dr ×dr/dt
dv/dt = 400π× 5
dv/dt = 2000π in³/s
or dv/dt =6283.2 in³/s
Answer:
46 degrees.
Step-by-step explanation:
Sin(angle) = 5/7. Using a calculator, this angle is thus 45.6, or approximately 46 degrees.
Answer:
133.04ft²
Step-by-step explanation:
Area of a circle is:
We are given the diameter. The radius of the given circle is 6. Note that the diameter is twice the radius.
Using 3.14 for pi:
The area is appropriately 133.04ft².
Hope this helps.
Answer:
radius: 3 units <----> Circumference: 18.84 units
Diameter: 12 units <----> Circumference: 37.68 units
Diameter: 36 units <----> Circumference: 113.04 units
Radios: 5 unites <----> Circumference: 31.4 units
Step-by-step explanation:
How I got the answers for the radiuses:
3 (this is only half the diameter so if you do 3 x 2 you will get the diameter.)
3 x 2 = 6
C = pi x d
C = 3.14 x 6
C = 18.84 [this is the first radios]
5 (this is only half the diameter so if you do 5 x 2 you will get the diameter.)
5 x 2 = 10
C = pi x d
C = 3.14 x 10
C = 31.4 [this is the second radios]
How I got the diameters:
12 (this is the full diameter so we do not have to multiply it by 2)
C = pi x d
C = 3.14 x 12
C = 37.68 [this is the first Diameter]
36 (this is the full diameter so we do not have to multiply it by 2)
C = pi x d
C = 3.14 x 36
C = 113.04 [this is the second Diameter]
