3 slices of a partially eaten 12-inch pizza are shown above. The CM of the entire uneaten pizza is cm = - 1.4 in. and yox= - 1.4 in, as shown.
(a) Assuming that each remaining slice is identical, find the CM of each slice. Choose the origin as shown above.
Starting with the slice in Q2 and going cow give the 3 CM's in the (x, y) format.
HINT: By symmetry, the positions of the CM of each slice must be the same distances x and y from the middle of the
pizza.
(b) Is the crust of the pizza stuffed with cheese? Prove your answer.

The radius of a sphere is increasing at a rate of 9 cm/ sec. find the radius of the sphere when the volume and the radius of the sphere are increasing at the same numerical rate.

Air conditioners not only cool air, but dry it as well. suppose that a room in a home measures 5.0m×9.0m×2.4m . if the outdoor temperature is 30 ∘c and the vapor pressure of water in the air is 85 % of the vapor pressure of water at this temperature, what mass of water must be removed from the air each time the volume of air in the room is cycled through the air conditioner? the vapor pressure for water at 30 ∘c is 31.8 torr.

Astone is dropped from the upper observation deck of a tower, 250 m above the ground. (assume g = 9.8 m/s2.) (a) find the distance (in meters) of the stone above ground level at time t. h(t) = (b) how long does it take the stone to reach the ground? (round your answer to two decimal places.) s (c) with what velocity does it strike the ground? (round your answer to one decimal place.) m/s (d) if the stone is thrown downward with a speed of 2 m/s, how long does it take to reach the ground? (round your answer to two decimal places.) s