Question

A company that manufactures storage bins for grains made a drawing of a silo. The silo has a conical base, as shown below: The figure shows a silo shaped as a closed cylinder with a conical end. The diameter of the silo is 4 ft, the length of the cylindrical part is 10 ft, and the entire length of the silo is 13 ft. Which of the following could be used to calculate the total volume of grains that can be stored in the silo? π(2ft)2(10ft) + one over threeπ(13ft − 10ft)2(2ft) π(10ft)2(2ft) + one over threeπ(13ft − 10ft)2(2ft) π(2ft)2(10ft) + one over threeπ(2ft)2(13ft − 10ft) π(10ft)2(2ft) + one over threeπ(2ft)2(13ft − 10ft)

Answer 1

Answer:

C. π(2ft)²(10ft) + 1/3π(2ft)²(13ft-10ft)

Step-by-step explanation:

Given:

diameter = 4ft

length of the cylindrical part = 10ft

entire length of the silo = 13ft

Find the volume of the silo = volume of cylinder and volume of the cone

Formulas:

Volume of cylinder: πr²h

Volume of come: 1/3πr²h

2ft= radius

height =10

volume π×2²×10

radius 2ft

height 13-10=3ft

Volume= 1/3×π×2²×3 cube feet

Therefore the third answer is correct: C. π(2ft)²(10ft) + 1/3π(2ft)²(13ft-10ft)