Question

Need some help with this third question

Answer 1

276.46 cubic inches

Explanation:

Volume of the cylindrical part = πr²h, r= radius, h = height

Volume of a cone (1/3) πr²h, r= radius, h = height

For given dimensions

cylinder h = 21, cylinder r = 2

Volume of cylindrical part of balloon = π · 2² · 21 = 4 · 21 · π = 84π cubic inches

Volume of conical part of balloon = (1/3) π · 2² · 3 = 4π

Total volume = 84π + 4π = 88π = 276.46 cubic inches

Answer 2

276.46 in^3

Explanation:

See the attached worksheet. The pencil balloon if formed by a cylinder and cone. Use the volume formulas for each of these shapes to calculate that shape's contribution to the total volume, and then add them.

The volume of the cylinder portion is 263.9 in^3.

The volume of the cone portion is 12.56 in^3

The sum is 276.46 in^3, which matches the first answer option.