Answer:
16^3
Step-by-step explanation:
16 x 16 x 16 is the same thing as 16 to the 3rd power. The power is how many times you multiply the number by itself.
Answer:
80
Step-by-step explanation:
He increased by 29% because you just add up the percentage
So basically the ladder is creating a right triangle with the ground and the wall. Ladder is the hypotenuse (h), building = b, ground = g
b = h - 22 ft
g = 1010 ft
use Pythagorean Theorem to determine the length of h:

The h^2 terms cancel out to = 0
I assume the cone has equation
(i.e. the upper half of the infinite cone given by
). Take

The volume of the described region (call it
) is

The limits on
and
should be obvious. The lower limit on
is obtained by first determining the intersection of the cone and sphere lies in the cylinder
. The distance between the central axis of the cone and this intersection is 1. The sphere has radius
. Then
satisfies

(I've added a picture to better demonstrate this)
Computing the integral is trivial. We have
