Math Problem Statement

The total height of the pencil-shaped solid object given alongside is 30 cm. If the heights of cone and cylinder are in the ratio of 2:3, find the total volume of the solid object.

Solution

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Math Problem Analysis

Mathematical Concepts

Volume of Solids
Geometric Ratios

Formulas

Volume of a cone = (1/3) × π × r^2 × h
Volume of a cylinder = π × r^2 × h

Theorems

Principle of Solid Volume Addition

Suitable Grade Level

Grade 8-10