Okay, so the volume of a sphere is 4/3 x pi x r^3.
The diameter of the sphere is 2.5, so the radius is 1.25cm. This cubed is 1.953125.
Multiply that by 3.14 to get 6.1328125. And finally, multiply by 4/3 to get 8.1770. To the nearest hundredth, we get that the volume of the sphere is 8.18cm^3.
Hope this helps:)
Answer:
530.66 in.²
Step-by-step explanation:
Area of a circle = πr²
In the circle above, the diameter is given. To find the radius, you divide the diameter by 2, i.e.
Radius(r) = 
= 13 in.
∴Area of the circle = 3.14 × 13²
= 3.14 × 169
= 530.66 in.²
Hope this helps :)
Answer: no solution, try going into more detail. Sorry if this isnt helpful
Step-by-step explanation:
Answer:
They will do rounds together again in 11 minutes and 40 seconds.
Step-by-step explanation:
Security A rounds every 2 minutes and 20 seconds in the gate 1.
That is, after 2*60 + 20 = 120 + 20 = 140 seconds.
Security B rounds every 1 minute and 40 seconds in the gate 2.
That is, after 1*60 + 40 = 60 + 40 = 100 seconds.
After how many minutes they will rounds together again?
First, we find this is seconds, which is the least common multiple between 140 and 100. Factoring them by prime factors:
140 - 100|2
70 - 50|2
35 - 25|5
7 - 5|5
7 - 1|7
1 - 1
lcm(140,100) = 2*2*5*5*7 = 700 seconds
They will do rounds together again in 700 seconds, which is 11 minutes and 40 seconds.
C(x)= 9(9)^2-5(9)+19
= 9(81)-45+19
= 729-45+19
= 684+19
= $703 to produce 9 widgets
