Question

question 1 - 36
a glass is in the shape of a cylinder with a height of 8 inches and a radius of 2.5 inches. about how many cubic inches of water does the glass hold when it is filled to the top? use 3.14 for π
148.24 in³
157 in³
164.85 in³
172 in³

Explanation:

Step1: Recall the formula for the volume of a cylinder

The volume \( V \) of a cylinder is given by the formula \( V = \pi r^2 h \), where \( r \) is the radius and \( h \) is the height.

Step2: Substitute the given values into the formula

We are given that \( r = 2.5 \) inches, \( h = 8 \) inches, and \( \pi = 3.14 \). Substituting these values into the formula, we get:
\( V = 3.14\times(2.5)^2\times8 \)

Step3: Calculate \( (2.5)^2 \)

First, calculate \( (2.5)^2 = 2.5\times2.5 = 6.25 \).

Step4: Multiply the values

Now, multiply \( 3.14\times6.25\times8 \). First, \( 3.14\times6.25 = 19.625 \). Then, \( 19.625\times8 = 157 \).

Answer:

\( 157\ \text{in}^3 \) (corresponding to the option "157 in³")