Geometry Questions

Question

The surface area of each pellet pictured in the container is exactly 100 mm to the power of 2. About how long would the container need to be wasting no space on either side of the pellets?There are 3 pellets

the pellets are spheres

Answer 1

A_sphere = 4πr²

100 = 4πr²

25 = πr²

25 / π = r²

5 / √π = r

10 / √π = d

30 / √π = length

Answer 2

Here's my best guess.

Surface area of a Sphere = 4*pi*r^2

Solve for radius.

100 = 4*pi*r^2 Divide by 4

25 = pi*r^2 Divide by pi

7.96 = r^2 Take square root of both sides

2.82 = r

Diameter = 2(radius)

Diameter = 5.64

Each sphere is 5.64 mm long.

Length of 3 spheres side by side: 3 x 5.64 mm = 16.9 mm

The rectangular box must be 16.9 mm long x 5.64 wide x 5.64 tall.