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Home » A cone has base radius 3 cm and slant height 5 cm. Lateral surface area is πrl. - Network4

A cone has base radius 3 cm and slant height 5 cm. Lateral surface area is πrl. - Network4

📅 May 19, 2026 👤 scraface

May 19, 2026

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📌 A mission to Mars covers a distance of 225 million km. If a spacecraft travels at 25,000 m/s, how many days will the journey take?

📌 Distance = 225 × 10⁹ m

📌 Speed = 25,000 m/s

📌 Time (seconds) = \( \frac{225 \times 10^9}{25,000} = 9 \times 10^6 \, \text{s} \)

📌 Convert to days: \( \frac{9 \times 10^6}{86,400} \approx 104.17 \)

📌 #### 104.17**Question:** A cylinder has a height equal to the diameter of its base. If the radius of the base is \( r \) units, what is the ratio of the volume of the cylinder to the volume of a sphere with radius \( r \)?

📌 The volume \( V_{\text{cylinder}} \) of a cylinder with height \( h = 2r \) and base radius \( r \) is given by the formula:

📌 \[ V_{\text{cylinder}} = \pi r^2 h = \pi r^2 (2r) = 2\pi r^3. \]

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