Problem preview
G-GMD.3 Warmup M2-038-A01-V01

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

Find the volume of a cylinder

Problem

A cylinder has \(\text{radius}~3\) and \(\text{height}~10\). Find its volume.

Big Picture

What this problem is really about

Cylinder volume is circular base area extended through a perpendicular height. We’ll map the labeled radius and height to their distinct roles, square only the radius when forming the base area, keep the height as a separate factor, and use the dimensions to check that the calculation ends in 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 cylinder