Back to Tutor Intake Assessment: Know the formulas for the volumes of cones, cylinders, and spheres

8.G.C.9 Tutor Intake -- Volume Formulas for Cylinders, Cones, and Spheres

This short check helps your tutor see where to start. Work on your own,
with a calculator, leaving answers in terms of pi unless told otherwise.
Do your best -- the goal is to find what to work on together, not to
grade you.

Grade 8·5 problems·~7 min·Common Core Math - Grade 8·container·8-g-c-9

Work through problems with immediate feedback

Procedures

A soup can has diameter 8 cm and height 11 cm. Find its volume in
terms of pi. Enter your answer as a number times pi (for example,
if the volume were 5 pi, enter 5).

A cone has radius 5 cm and height 12 cm. Which expression gives
its volume?

(1/3) x pi x 5^2 x 12 = 100pi

pi x 5^2 x 12 = 300pi (same as a cylinder with these dimensions)

(1/2) x pi x 5^2 x 12 = 150pi

pi x 5 x 12 = 60pi

A marble has radius 3 cm. Find its volume in terms of pi. Enter
your answer as a number times pi (for example, if the volume
were 5 pi, enter 5).

Applications

A problem describes a "funnel" with a given radius and height.
Which volume formula should you use?

Cone formula: V = (1/3)pi r^2 h

Cylinder formula: V = pi r^2 h

Sphere formula: V = (4/3)pi r^3

It cannot be determined from the word 'funnel'

A cylinder has radius 4 inches and height 9 inches. A cone has
the same radius (4 inches) and the same height (9 inches). How
many times greater is the cylinder's volume than the cone's
volume? Enter a number.

0 of 5 answered

Answer all problems to submit.

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