Unit 8 · Pythagorean Theorem, Distance & Volume
A cone is one-third of a cylinder with the same base and height. A sphere uses the cube of the radius.
You will have the Grade 8 formula sheet on the state test. Still practice identifying radius vs. diameter and keeping π until the end unless a decimal is requested.
The distance from the center of a circle (or sphere) to a point on it.
Example: A cylinder with diameter 10 cm has radius 5 cm.
Try the prompt first. The steps stay folded until you ask to see them.
A cylindrical tank has radius 4 ft and height 9 ft. Find the volume in terms of π.
Watch for
Using diameter as radius
The formulas need r, not d.
Fix: Halve a diameter before substituting.
Submit each answer to check it. The key is not shown until you do.
A cylindrical container has a height of 56 centimeters and a diameter of 22 centimeters. What is the volume, in cubic centimeters, of the container in terms of π?
A cylinder has a radius of 4.8 feet and a height of 8.1 feet. What is the volume, to the nearest tenth of a cubic foot, of the cylinder?
The top surface of a trampoline is in the shape of a circle with a diameter of 12 feet. What is the area, in square feet, of the top circular surface of the trampoline? Round to the nearest whole number.
Build with linking cubes or rice: three cones fill one cylinder.
A cone and cylinder share r and h. What fraction of the cylinder does the cone fill?
Sentence starters · Notice and Wonder · Three Reads · Think-Pair-Share · Compare and Connect · Math Talk · Stronger and Clearer Each Time