Lesson 14

Finding Cylinder Dimensions

View Student Lesson

Problem 1

Complete the table with all of the missing information about three different cylinders.

diameter of base (units) area of base (square units) height (units) volume (cubic units)
4 10
6 \(63 \pi\)
\(25 \pi\) 6

Solution

For access, consult one of our IM Certified Partners.

Problem 2

A cylinder has volume \(45\pi\) and radius 3. What is its height?

Solution

For access, consult one of our IM Certified Partners.

Problem 3

Three cylinders have a volume of 2826 cm3. Cylinder A has a height of 900 cm. Cylinder B has a height of 225 cm. Cylinder C has a height of 100 cm. Find the radius of each cylinder. Use 3.14 as an approximation for \(\pi\).

Solution

For access, consult one of our IM Certified Partners.

Problem 4

A gas company’s delivery truck has a cylindrical tank that is 14 feet in diameter and 40 feet long.

  1. Sketch the tank, and mark the radius and the height.

  2. How much gas can fit in the tank?

Solution

For access, consult one of our IM Certified Partners.

(From Unit 5, Lesson 13.)

Problem 5

Here is a graph that shows the water height of the ocean between September 22 and September 24, 2016 in Bodega Bay, CA.

Coordinate plane, hoizontal, date and time, vertical, water height in feet. A smooth graph with several peaks and valleys.  Please ask for additional assistance.

  1. Estimate the water height at 12 p.m. on September 22.

  2. How many times was the water height 5 feet? Find two times when this happens.

  3. What was the lowest the water got during this time period? When does this occur?

  4. Does the water ever reach a height of 6 feet?

Solution

For access, consult one of our IM Certified Partners.

(From Unit 5, Lesson 5.)