Solve the equation. y + 6 = -3y + 26 y=-8 y=-5 OOOO O y=5 y = 8

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 $\frac{1}{3}\pi r^2\cdot h$ .

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:

$h=2r$

Upon substituting $h=2r$ in volume of cone, we will get:

$V=\frac{1}{3}\pi r^2\cdot 2r$

$V=\frac{2}{3}\pi r^3$

We know that volume of sphere is $V=\frac{4}{3}\pi r^3$ .

Upon comparing volume of cone with volume of sphere, we can see that volume of sphere is 2 times the volume of cone.

$V=2(\frac{2}{3}\pi r^3)$

Since $\frac{2}{3}\pi r^3=113.04$ , so volume of sphere would be:

$V=2(113.04)$

$V=226.08$

Therefore, volume of sphere would be 226.08 cubic mm.

4 0

4 years ago

Which statement best explains why Ben uses the width HI to create the arc at J from point K?

Alina [70]

Answer:

In your question where Ben uses a compass and straight edge to construct angle DEF equals to angle ABC as shown in the diagram. In my calculation the possible answer to the following questions is angle DEF is equals to angle ABC when JK is constructed equals to HI.

Step-by-step explanation:

Hope I Helped! :D

3 0

3 years ago