A festive company makes identical paper caps in the shape of right circular cones

MATHEMATICS · Subjective · CBSE · Mathematics · Surface Areas and Volumes · Surface Areas and Volumes

Problem

A festive company makes

120

identical paper caps in the shape of right circular cones. Each cap has a base radius of

7\,\text{cm}

and a slant height of

25\,\text{cm}

. Decorative sheet material costs

₹50

per square metre, and

5\%

extra material is to be allowed for cutting losses. The payment to the foreign supplier must be made in US dollars at the conversion rate of

₹80 = \$1

. (a) Find the curved surface area of one cap in square metres. (b) Calculate the total decorative sheet area required for

120

caps, including the

5\%

extra. (c) Determine the amount payable to the supplier in US dollars.