We have been given that a sphere and a cylinder have the same radius and height. The volume of the cylinder is 21 meters cubed. We are asked to find the volume of the sphere.
We know that height of sphere is equal to its radius. This means that
.

Using
, we will get:


Upon comparing volume of sphere and volume of cylinder, we can see that volume of sphere is
times volume of cylinder.




Therefore, the volume of the sphere would be 28 cubic meters.
Sum of interior angles of triangle = 180
x + x + 6 + 3x - 16 = 180
5x - 10 = 180
5x = 190
x = 38
<M = 3(38) - 16
<M = 114 - 16
<M = 98°
Step-by-step explanation:
Let the number be x.
ATQ,
Malachy halves the number and gets an answer of 67.3.

This the equation for the given statement.
It can also be written as :

Hence, this is the required solution.
He drank 420 cups of water in one month
Answer:
48.06 to the nearest hundredth.
Step-by-step explanation:
f(x) = -16x^2 + 2x + 48
To find the maximum height we convert to vertex form:
= -16(x^2 + 1/8x) + 48
= -16[x + 1/16)^2 - 1/256] + 48
= -16(x + 1.16)^2 + 16/256 + 48
= 48.0625.