A bronze right circular cone of base radius and height and a bronze right circular…

MATHEMATICS · Multi-part · CBSE · Mathematics · Surface Areas and Volumes · Surface Areas and Volumes

Problem

A bronze right circular cone of base radius 4 cm4\,\text{cm} and height 9 cm9\,\text{cm} and a bronze right circular cylinder of base radius 3 cm3\,\text{cm} and height 5 cm5\,\text{cm} are melted together and cast into a single solid sphere. (i) Find the total volume of bronze obtained from the cone and the cylinder. (ii) Determine the radius of the sphere formed. (iii) Calculate the curved surface area of the sphere (take π=227\pi = \frac{22}{7}).

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