if you can get these two problems you are pure genius?

Question

1: A cylindrical piece of steel is 2 inches in radius and 14 feet long. It is melted and formed into balls each 1/4 inch in radius. How many balls can be made from the rod?
32,256
30,550
29,580
33,445


2: The moon is a sphere 2160 miles in diameter. What is its surface area in square miles? Use pi = 3.14 and give the answer to the nearest ten thousand.
1,560,000 sq. mi
110,470,000 sq. mi
14,660,000 sq. mi
16,980,000 sq. mi

Answer 1

32256
bcoz,
look the volume of a sphere is = 4/3 * pie * radius^2
by this volume of each ball = pie/48
total volume of cylinder = pie * rad.^2 * height
= pie*2*2*14*12
now dividin total vol . of cylinder by vol.of each ball
the no. of balls = 32256

conversion --- 12inches = 1foot

2) 14660000
(surface area os sphere = 4 * pi * rad.^2

Answer 2

for #1, none of those answers is correct, for it would only be able to make 32,255 and ALMOST one more ball
for #2, none of those answers is correct, for the Surface Area of a sphere is 4*PI*radius ^2, it would actually be 14,650,000 sq. mi....my guess would be a misprint

i do not believe you are pure genius if you can answer those questions, you simply have to know three basic geometrical equations and know how to use a calculator

Answer 3

They're actually simple

1) Calculate the volume of the cylinder. Calculate the volume of the ball. Divide the volume of the cylinder by the volume of the ball.

2) Use the cook book formula for the area of a sphere.

Now you do your own homework.

Answer 4

A) 32255 balls and almost one more

B) 14670000 because you are rounding to the nearest ten thousands

Answer 5

32 256 balls

14 660 000 sq.mi.

Answer 6

good luck bro

Answer 7

32,256