We have been given that the volume of a cone is 113.04 cubic mm. We are asked to find the approximate volume of a sphere that has the same height and a circular base with the same diameter.
We know that volume of cone is 
.
The height is equal to the diameter. We know that diameter is 2 times radius, so we can represent this information in an equation as:
Upon substituting in volume of cone, we will get:
We know that volume of sphere is 
.
Upon comparing volume of cone with volume of sphere, we can see that volume of sphere is 2 times the volume of cone.
Since 
, so volume of sphere would be:
Therefore, volume of sphere would be 226.08 cubic mm.
Product of 6 and a number means 6 times something (let's call it x)
6 times x or 6x
product is multipled by 9
(6x) times 9 or 9(6x)
using associative property or commutative I forgot
9(6x)=(9)(6)(x)=(54)(x)=54x
3 (2x + 1) = 21
6x + 3= 21
-3 -3
6x = 18
Divide each side by 6, and x equals 3.
3 (2(3) + 1) = 21
3 (6 + 1) = 21
18 + 3 = 21
Hope this helps! Can I please have brainliest so I can level up? Thank you!
Answer:
This image will help!
Thanks and have a good day.
Hello! For these types of inequalities, we put what’s in the middle to solve for the one behind and ahead. -3x + 12 is in the middle. Let’s solve it like this: x + 4 < -3x + 12. Add 3x to both sides to get 4x + 4 < 12. Subtract 4 from both sides to get 4x < 8. Divide each side by 4 to isolate the “x”. 8/4 is 2. x < 2. Now, let’s solve the other like this: -3x + 12 < 24. Subtract 12 from both sides to get -3x < 12. Divide each side by -3 to isolate the “x”. 12/-3 is -4. Because you divided by a negative, you flip the sign over into greater than. The solution to the compound inequality is -4 < x < 2, but none of the choices show that. In this case, the part of the solution is x < 2, so if you had to pick from one of the answers, the answer is C.
