RRB ALP practice question
A cylinder and a cone have the same base radius of 84 cm. The height of the cylinder is 14 cm. If both have equal volume, find the height of the cone.
From a RRB ALP Quantitative Aptitude practice set · Quantitative Aptitude
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Correct answer: (D) 42 cm
πr²×h_cyl = (1/3)πr²×h_cone ⇒ h_cone = 3×h_cyl = 3×14 = 42 cm.
πr²×h_cyl = (1/3)πr²×h_cone ⇒ h_cone = 3×h_cyl = 3×14 = 42 सेमी।
हिंदी में प्रश्न
एक बेलन और एक शंकु के आधार की त्रिज्या समान 84 सेमी है। बेलन की ऊँचाई 14 सेमी है। यदि दोनों का आयतन समान है, तो शंकु की ऊँचाई ज्ञात करें।
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सही उत्तर: (D) 42 सेमी
πr²×h_cyl = (1/3)πr²×h_cone ⇒ h_cone = 3×h_cyl = 3×14 = 42 cm.
πr²×h_cyl = (1/3)πr²×h_cone ⇒ h_cone = 3×h_cyl = 3×14 = 42 सेमी।
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