Answered

Welcome to Westonci.ca, the place where your questions are answered by a community of knowledgeable contributors. Experience the convenience of getting accurate answers to your questions from a dedicated community of professionals. Get quick and reliable solutions to your questions from a community of experienced experts on our platform.

These two cylinders are congruent.

Cylinder A has a radius of 4 centimeters. Cylinder B has a volume of [tex]\(176\pi\)[/tex] cubic centimeters. What is the height of Cylinder B?

Given:
[tex]\[ r = 4 \, \text{cm} \][/tex]
[tex]\[ V = 176\pi \, \text{cm}^3 \][/tex]

Find:
[tex]\[ h = \square \, \text{cm} \][/tex]

Sagot :

GinnyAnswer
To determine the height of Cylinder B, we start by using the given volume formula for a cylinder:

[tex]\[ V = \pi r^2 h \][/tex]

We know the following conditions for Cylinder B:
- The radius [tex]\( r \)[/tex] is 4 centimeters.
- The volume [tex]\( V \)[/tex] is [tex]\( 176 \pi \)[/tex] cubic centimeters.

We need to find the height [tex]\( h \)[/tex]. Let's substitute the known values into the volume formula and solve for [tex]\( h \)[/tex].

Given:
[tex]\[ V = 176 \pi \][/tex]
[tex]\[ r = 4 \, \text{cm} \][/tex]

Substitute [tex]\( r = 4 \)[/tex] into the volume formula:
[tex]\[ 176 \pi = \pi (4)^2 h \][/tex]

Simplify the equation:
[tex]\[ 176 \pi = \pi \cdot 16 \cdot h \][/tex]

Since π appears on both sides of the equation, we can cancel it out:
[tex]\[ 176 = 16h \][/tex]

Now, solve for [tex]\( h \)[/tex]:
[tex]\[ h = \frac{176}{16} \][/tex]

Perform the division:
[tex]\[ h = 11 \][/tex]

Therefore, the height of Cylinder B is:
[tex]\[ h = 11 \, \text{cm} \][/tex]
Thank you for your visit. We're dedicated to helping you find the information you need, whenever you need it. Thanks for using our service. We're always here to provide accurate and up-to-date answers to all your queries. Keep exploring Westonci.ca for more insightful answers to your questions. We're here to help.