Solution -
The sphere is centered in the cube, so diameter of the sphere is equal to the side of the cube. Hence ,the radius of the sphere is half of the length of the side.
If the length of side of the cibe = a , then radius of the sphere is
Volume of the cube = a³, volume of the sphere = π(radius)³ =
π(
)³
volume of the cube outside the sphere = volume of the cube - volume of the sphere
= π(
)³
=
=a³(1 - )
Answer:
Step-by-step explanation: <u>Speed</u> is distance an object travelled per unit time.
It is represented by letter v and can assume various units.
1)
v = 18 miles per hour
Her average speed is 18 mph.
2) Rearraging formula for distance:
d = v.t
d = 70 * 4
d = 280 miles
You would travel 280 miles.
3)
v = 52.5 mph
My average speed is 52.5 mph.
4) Rearranging formula to determine time:
t = 2.34 hours
It will take 2 hours and half to arrive in Leeds. So, we will be expected to arrive at 12:04.
5) The unit change but the way of calculating time is the same.
t = 500 s
or t = 8.34 minutes
It will take, for an athlete to run 2000m, 8.34 minutes.
6) a) All units must match, so for a speed in mph:
45 minutes is 0.75 hours. Total time is 8.75 hours.
v = 560 mph
The average speed is 560 mph.
b)
t = 6.67 hours
Sam will take 6.67 hours to covered the distance.