Wednesday

October 1, 2014

October 1, 2014

Posted by **Tho** on Saturday, April 20, 2013 at 10:24am.

What if we were watching a pumpkin on the vine grow over time and that its shape was totally spherical.

Now for your five (5) tasks:

1. Initially we see a pumpkin when its radius equals 2”. Calculate its volume and surface area at this point.

2. Determine what the volume and surface area of the pumpkin will be when its radius equals 4”.

3. Determine what the radius of the pumpkin would have been when its volume was 2 times its initial volume.

4. Determine what the radius would have been when the pumpkin had a surface area 4 times the surface area it had when its radius was 4”.

5. Consider the volume of our pumpkin when its radius was 3”. What if there were a cylindrically-shaped pumpkin having that exact same volume. Determine 3 different radius and height combinations for the cylinder pumpkin that would generate that same volume. By the way, all 6 numbers must be different and must be integers.

- Math -
**Steve**, Saturday, April 20, 2013 at 1:02pmv = 4/3 pi r^3

a = 4 pi r^2

plug in r=2

plug in r=4

or, just multiply the volume by 8 and the area by 4

multiply r by ∛2

if area is 4x, radius is 2x

v(3) = 4/3 pi * 27 = 36pi

just come up with values for r and h such that r^2 and h are factors of 36 since cylinder volume

v = pi r^2 h

**Answer this Question**

**Related Questions**

math - Farmer Frank's pumpkin patch had 360 pumpkins and he was searching for ...

math - there were 360 pumpkins in a pumpkin patch , but it was difficult for ...

logic - There were 1320 pumpkins in a pumpkin patch, but it was difficult for ...

math logic - There were 1320 pumpkins in a pumpkin patch, but it was difficult ...

math logic - There were 1320 pumpkins in a pumpkin patch, but it was difficult ...

math - went to market with a whole crop of pumpkins which I had grown in my ...

Physics - Early one October you go to a pumpkin patch to select your Halloween ...

Physics - Early one October, you go to a pumpkin patch to select your Halloween ...

chemistry: brain teaser - I have this question that i am having trouble with.....

physics - 5. A truck is travelling at a constant velocity of 16.7 m/s. A ...