Area of sphere, cylinder and cone problems?

Question

The largest popcorn ball ever made was finished on April 29, 1995 in Sac County, Indiana. It weighed 2,225 pounds and was 6 ft high. How many cubic feet of popcorn made up the popcorn ball?

The tree with the greatest volume of wood in the world is the General Sherman Tree in Sequoia National Park, CA. This tree is 275 feet high, and the base of its trunk has a radius of 16 feet. If the trunk of the tree has a shape between that of a cylinder and a cone, what is the maximum and minimum volume of wood that it contains? Round answers to the nearest cubic foot.)

Answer 1

Popcorn ball. . . .

Google search: volume sphere (should have used "volume sphere," but it turned out not to matter)

http://www.aaamath.com/geo79-volume-sphere.html

4/3 (pi) r^3

4/3 times pi times (6 to the 3rd power)

equals 4/3 times pi times 216. . . and work from there.

Google search: volume cylinder

http://www.321know.com/exp79_x5.htm

(area of the base) * height =(pi r squared times height)

Pi times (16 squared) times 275. . . work from there.

Answer 2

the exterior part of a cone is the lateral floor section plus the realm of the (round) base, or ? r s + ? r ². This simplifies to ? r (s+r), the position r is the radius of the bottom and s is the slant height. If that is 96? cm², then: ? r (s+r) = ninety six ? ? r (10+r) = ninety six ? r (10+r) = ninety six 10r + r ² = ninety six r ² + 10r - ninety six = 0 remedy this for r, utilizing winding up the sq. or the quadratic formula. Then take the purely valuable answer. For spheres or cylinders, you likewise ought to apply their formula for floor section: floor part of a sphere = 4 ? r ² floor of a cylinder = 2 ? r (r+h) Plug contained in the values you recognize, and remedy for the single you should locate.

Answer 3

What do you mean tree has a shape between that of a cylinder and a cone on the 2nd problem?