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8th Class Mathematics Algebraic Expressions Question Bank Algebraic Expressions and Identities

  • question_answer
    The volume V, of a solid is given by the formula \[V=\pi ({{R}^{2}}-{{r}^{2}})h.\] Find the value of V, given that \[R=8,\text{ }r=5,\text{ }h=3\frac{1}{2}\]and \[\pi =\frac{22}{7}\].

    A)  \[393\]                                

    B)  \[429\]                

    C)         \[492\]                

    D)         \[294\]

    Correct Answer: B

    Solution :

    \[V=\pi \,({{R}^{2}}-{{r}^{2}})h\] \[=\frac{22}{7}\,({{8}^{2}}-{{5}^{2}})\,\left( 3\frac{1}{2} \right)\] \[=\frac{22}{7}(64-25)\,\left( \frac{7}{2} \right)\] \[=\frac{22}{7}\times 39\times \frac{7}{2}\] \[=11\times 39=429\]


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