WBBSEClass XMathematicsReal Life Problems Related To Different Solid Object04 Mark2024 Moderate

QQuestion

The lower part of an ice-cream is conical and upper part is hemispheric with same circular base. If the height of the cone is 9cm and radius of the base 2.5 cm. Find the volume of the ice-cream.

Exam-ready answer 04 Mark

Answer

Cone height (h) = 9 cm, base radius (r) = 2.5 cm

Volume of cone (V1) = 1\over 3 π·r²·h

= 1\over 3 × π × 2.5² × 9

= 18.75π cm³

Volume of sphere (V2) = 2\over 3 π·r³

= 2\over 3 × π × 2.5³

= 31.25\over 3 π cm³

Total volume = 18.75π + 31.25\over 3 π

= 87.5\over 3 π cm³

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