The diameter of two cylinders, whose volumes are equal, are in the ratio 3:2. Their heights will be in the ratio .Select one:a. 8:9b. 5:6c. 5:8d. 4:9
Question
Solution 1
The volume of a cylinder is given by the formula V = πr²h, where r is the radius and h is the height.
Given that the volumes of the two cylinders are equal, we can set up the equation:
π*(3/2r1)²h1 = π*(2/2r2)²h2
Solving for h2/h1 (the ratio of the heights), we get:
h2/h1 = (r1/r2)² = (3/2) Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solve study prob
Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solve study problem.
Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solve study problem.
Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solve study problem.
Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solv
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