Question

question 1 - 7
a cylindrical trash can is 30 inches high and has a base radius of 7 inches.
a customer wants to know the volume of this trash can to estimate how much trash it can hold.
what is the volume of the trash can? (leave your answer in terms of π.)
9.3 π in³

Explanation:

Step1: Recall the formula for the volume of a cylinder

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

Step2: Substitute the given values into the formula

Given \( r = 7\) inches and \( h=30\) inches. Substitute these into the formula: \( V=\pi\times(7)^{2}\times30\).
First, calculate \( (7)^{2}=49\). Then, \( V=\pi\times49\times30\).
Multiply \( 49\times30 = 1470\).

Answer:

\(1470\pi\) \(in^{3}\)