A block of ice in the form of a cube has one edge 10 feet long. It is melting uniformly so that its dimensions decrease at a rate of 1/10 fps (feet per second). At what rate is the volume of the block changing when the edge is 5 feet long?

-7.5 ft^3/sec

OR

Volume is decreasing at the rate of 7.5 ft^3/sec

Step-by-step explanation:

Side of cube = 10 feet

Rate of decreasing of side of cube =

OR

Rate of change of side of cube =

To find:

Rate of change in volume when the edge is 5 feet long = ?

Solution:

Volume of a cone is given by:

If side is units, then Volume can be written as:

Differentiating w.r.to time:

Negative sign indicates that the volume is decreasing at the rate of 7.5 ft^3/sec

there are 70 more legs than eyes at the dog show (196 – 126 = 70). dogs have two more legs than eyes, and humans have the same number of legs as eyes. thus 70 is twice the number of dogs at the show, so the number of dogs is half of 70, which is 35. to get the number of humans, subtract 35 from 63: 63 – 35 = 28.

step-by-step explanation:

it would rotate about 180 degrees.