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Home » To find the ratio of the volumes, we first calculate the volume of each shape. - Sterling Industries

To find the ratio of the volumes, we first calculate the volume of each shape. - Sterling Industries

📅 April 21, 2026 👤 scraface

Apr 21, 2026

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📌 Solution: Express the ratio as $9:15$ and simplify by dividing by 3:

📌 Solution: The particle comes to rest when its velocity is zero, i.e., when $ h(t) = 0 $.

📌 So the particle is at rest at $ t = 1 $ and $ t = 3 $. The final answer is:

📌 Question: A sequence of five real numbers forms an arithmetic progression, and the sum of the first and fifth terms is 20. If the third term is 6, find the common difference.

📌 Solution: Let the sequence be $ a - 2d, a - d, a, a + d, a + 2d $, where $ a $ is the third term and $ d $ is the common difference.

📌 But were also told the third term is 6, so:

📌 This contradicts $ a = 10 $, unless we re-express the sequence differently. Let the sequence be $ a, a + d, a + 2d, a + 3d, a + 4d $.

📌 And the third term is $ a + 2d = 6 $.

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