Post a New Question

Math

posted by .

The size to which a pumpkin grows while on the vine is probably problematic, as our current visiting POLY pumpkins demonstrate.
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 -

    v = 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

Respond to this Question

First Name
School Subject
Your Answer

Similar Questions

  1. logic

    There were 1320 pumpkins in a pumpkin patch, but it was difficult for farmer Joe to find the perfect pumpkin. • Every third pumpkin was too small. • Every fourth pumpkin was too green. • Every fifth pumpkin had a broken stem. …
  2. math logic

    There were 1320 pumpkins in a pumpkin patch, but it was difficult for farmer Joe to find the perfect pumpkin. • Every third pumpkin was too small. • Every fourth pumpkin was too green. • Every fifth pumpkin had a broken stem. …
  3. math logic

    There were 1320 pumpkins in a pumpkin patch, but it was difficult for farmer Joe to find the perfect pumpkin. • Every third pumpkin was too small. • Every fourth pumpkin was too green. • Every fifth pumpkin had a broken stem. …
  4. Physics

    Early one October you go to a pumpkin patch to select your Halloween pumpkin. You lift the 2.8 kg pumpkin to a height of 1.27 m, then carry it 51.4 m (on level ground) to the check-out stand. How much work do you do on the pumpkin …
  5. math

    went to market with a whole crop of pumpkins which I had grown in my pumpkin patch. I sold half of them plus half a pumpkin, and found that I had one whole pumpkin left. How many pumpkins did I take to the market?
  6. math

    Farmer Frank's pumpkin patch had 360 pumpkins and he was searching for perfect pumpkins to sell at his farm stand. As he walked through his pumpkin patch, he noted the following: Every third pumpkin had no stem. Every sixth pumpkin …
  7. math

    there were 360 pumpkins in a pumpkin patch , but it was difficult for farmer alexander to find the perfect pumpkin. evry third pumpkin was too small. every fourth pumpkin was too green. every fifth pumpkin had a broken stem. every …
  8. math

    There were 60 pumpkins in a pumpkin patch but it was difficult for farmer Joe to find a perfect pumpkin.
  9. Math

    Every year in Delaware there is a contest where people create cannons and catapults designed to launch pumpkins as far in the air as possible. the equation y=15+110x-16x^2 can be used to represent the height, y, of a launched pumpkin, …
  10. Physics

    Tarzan (80 kg) runs toward a vine at 4.8 m/s where Jane (60 kg) is hanging on. He jumps and grabs the vine. How high does the vine swing?

More Similar Questions

Post a New Question