Hello! :)
<h2>Answer:</h2>
All of the following statements about the cone are true.
2.) The radius is 9 mm.
3.) The base area is calculated using the radius.
4.) The volume is one-third the volume of a cylinder with the same height and diameter.
5.) The volume of the cone is 297 pi millimeters cubed.
<h2>Explanation:</h2>
The radius is always half the diameter, which is why the first choice is false, and the second choice is true.
When calculating the base, you need to use the radius. This means the third choice is true. The formula for the base area is π
Volume of the cone:
V =
π
h
=
× π ×
× 11
= 933.052233 mm²
Volume of a cylinder with the same height and diameter:
V = π
h
= π × 81 × 11
= 891π
= 2799.15669 mm²
2799.15669 ÷ 3 = 933.052233
Option four is true.
297 × π = 933.05223 This is true.
If the required rate is gallons per minute, then its obvious from the question, that the rate of filling the pool is 10 gallons per minute, and its obviously a constant number.
But for the rate to be in gallons per hour, then
1 minute corresponds to 10 gallons
so
1 hour corresponds to 10x60 = 600 gallons
hence
rate (gallons per hour) = 120,000/600 = 200 gallons per hour.
which is again a constant number.
We are asked in the problem to determine the inverse of the relation y = 3x + 12. first step is to express the equation in terms of y, that is y -12 = 3x, then exchange the places of x and y, that is x - 12 = 3y. This is the final answer
13/107 can't be simplified but in decimal form it would be 0.121495327103.