Answer: r = 1.69 inches
h = 2.15 inches
Step-by-step explanation: Volume of a solid is the amount of space contained within a solid.
Volume of a cone is directly proportional to radius and height:
They want the cones to hold the same volume of 9 cubic inches.
If height is 3:
r = 1.69 inches
When height is 3, radius is 1.69 inches for a cone to have 9 cubic inches of volume.
If radius is 2:
h = 2.15 inches
If radius is 2 inches, height of the cone is 2.15 inches.
The equation which shows the true solution to the given logarithmic equation is,
The power of the log rule says that the number written in the front of the logarithmic function can be raised to the power of the logarithmic function.
For example,
Given information-
The logarithmic equation given in the problem is,
Using the power rule of the logarithmic function,
Using the exponent rule of the logarithmic function the above equation can be written as,
Solve it further,
Hence, the equation which shows the true solution to the given logarithmic equation is,
Learn more about the rules of logarithmic function here;