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    Find the volume of cone which has base radius as 7 cm and height as 12 cm. (The value of π is 227\frac {22}7722​​)
    Question

    Find the volume of cone which has base radius as 7 cm and height as 12 cm. (The value of π is 227\frac {22}7​)

    A.

    576 cm³

    B.

    616 cm³

    C.

    512 cm³

    D.

    289 cm³

    Correct option is B

    Given:
    Radius of the cone = 7 cm
    Height of the cone = 12 cm
    Formula Used:
    Volume of a cone =13\frac 13​× π × r2r^2​ × h
    Where, r = radius of the cone
    h = Height of the cone
    Solution:
    Volume of the cone=13πr2h=>Volume of the cone=13×π×72×12=13×227×72×12=>Volume of the cone=616 cm3\text{Volume of the cone} = \frac{1}{3} \pi r^2 h \\\Rightarrow \text{Volume of the cone} = \frac{1}{3} \times \pi \times 7^2 \times 12 = \frac{1}{3} \times \frac{22}{7} \times 7^2 \times 12 \\\Rightarrow \text{Volume of the cone} = 616 \ \text{cm}^3​​


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