Problem preview
G-GMD.3 Warmup M2-038-A02-V01

Use volume formulas for cylinders, pyramids, cones, and spheres to solve problems.

Find the volume of a cone

Problem

A cone has radius \(3\) and height \(10\). Find its volume.

Big Picture

What this problem is really about

A cone uses the same circular base and perpendicular-height product as a matched cylinder, together with its volume fraction. We’ll identify the radius and true height, form the cylinder-sized product with the radius squared, apply the cone factor to the whole product, and finish with cubic units.

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Four variants of this problem type
Curriculum context
Course
Math II
Standard
G-GMD.3
Category
Geometry
Domain
Geometric Measurement and Dimension
Objective
Use volume formulas for cylinders, pyramids, cones, and spheres to solve problems.
Problem type
Find the volume of a cone