Problem preview
G-GMD.3 Warmup M2-038-A09-V01

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

Solve a real-world capacity problem using volume

Problem

A cylindrical tank has radius \(2~m\) and height \(5~m\). Find its capacity in cubic meters.

Big Picture

What this problem is really about

Capacity is a volume question, so the container’s interior shape determines the model. We’ll treat the tank as a cylinder, build its circular base area from the radius, extend that area through the height, and interpret the dimensions carefully so the capacity is reported in cubic rather than square meters.

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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
Solve a real-world capacity problem using volume