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what does a water tower do - RTA

📅 May 3, 2026 👤 scraface

May 03, 2026

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📌 2Question: A virologist models the shape of a spherical virus particle with radius $ r $, and a cylindrical protein cap structure with radius $ r $ and height $ 2r $. What is the ratio of the volume of the sphere to the volume of the cylinder?

📌 Question: A software developer is designing a triangular button layout with sides of length $ 7 $, $ 15 $, and $ 10 $. What is the length of the longest altitude of this triangle?

📌 Solution: First, verify that the triangle is valid using the triangle inequality:

📌 So, the triangle is valid. Use Herons formula to find the area. Let $ a = 7 $, $ b = 15 $, $ c = 10 $. The semi-perimeter is:

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