Question
Download Solution PDFA solid right circular cone of same circular base radius is formed by melting a solid sphere of radius 5 cm. The height of the cone is:
This question was previously asked in
Bihar STET TGT (Maths) Official Paper-I (Held On: 04 Sept, 2023 Shift 2)
Answer (Detailed Solution Below)
Option 1 : 20 cm
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Bihar STET Paper 1 Social Science Full Test 1
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Detailed Solution
Download Solution PDFCalculations:
Volume of Sphere = 4/3 × πr3 = Volume of Cone = 1/3 × πr2 × h
4/3 × πr3 = 1/3 × πr2 × h
since, A solid right circular cone of same circular base radius is formed by melting a solid sphere of radius 5 cm
∴ r is same for both.
h = 4 × 53/52 = 20cm
Hence, The Correct Answer is 20 cm.
Last updated on Jan 29, 2025
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