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Home » We are given $ z = e^i heta $, $ w = e^{i3 - Veritas Home Health

We are given $ z = e^i heta $, $ w = e^{i3 - Veritas Home Health

📅 March 1, 2026 👤 scraface

Mar 01, 2026

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📌 From Despair to Fame: Ultra Despair Girls Shock the World With Their Raw PainQuestion: A palynologist models a pollen grain as a perfect sphere with radius $ r $, while a spore is modeled as a hemisphere with radius $ 3r $. What is the ratio of the surface area of the pollen grain to the surface area of the spore, including its flat base?

📌 Solution: The surface area of a sphere is $ 4\pi r^2 $. For the pollen grain, this is $ 4\pi r^2 $. The surface area of a hemisphere includes the curved surface ($ 2\pi (3r)^2 $) and the flat circular base ($ \pi (3r)^2 $), so total surface area is $ 2\pi (9r^2) + \pi (9r^2) = 18\pi r^2 + 9\pi r^2 = 27\pi r^2 $. The ratio is:

📌 \frac{4\pi r^2}{27\pi r^2} = \frac{4}{27}

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