A cylindrical farm silo is built to store corn. The interior of the silo has a radius of 7… — Armed Services Vocational Aptitude Battery (ASVAB)

A cylindrical farm silo is built to store corn. The interior of the silo has a radius of $7\text{ feet}$ and a height of $20\text{ feet}$ . Using $\frac{22}{7}$ for $\pi$ , what is the total volume of the silo in cubic feet?

Answer: 3080 cubic feet

Answer

The total volume of the silo is 3080 cubic feet.

The correct answer is calculated by applying the volume formula for a cylinder,

V = \pi r^2 h

. Substituting

7

for the radius and

20

for the height, along with

\frac{22}{7}

for

\pi

, results in

3080\text{ cubic feet}

Step-by-Step Solution

Recall the volume formula

V = \pi r^2 h

This is the standard formula required to find the volume of any cylinder.

Substitute the given values

V = \frac{22}{7} \times (7)^2 \times 20

We plug in

r = 7

h = 20

, and

\pi = \frac{22}{7}

as provided in the question.

Square the radius

V = \frac{22}{7} \times 49 \times 20

Following the order of operations, exponents must be calculated before multiplication.

Multiply and simplify

V = 22 \times 7 \times 20 = 3080

Simplifying the fraction

\frac{22}{7} \times 49

leaves

22 \times 7 = 154

. Multiplying

154

20

yields

3080

Key Concept

Calculating the volume of a cylinder

Question

Answer

Step-by-Step Solution

Key Concept

Common Mistakes

Topics

More questions from this topic