If S denotes the area of the curved surface of a right circular cone of height h and semi vertical angle ∝ then S equals

The area of a triangle is 96 cm² and the ratio of its sides is 6 : 8 : 10. What is the perimeter of the triangle?

The diameter of a circle is 112 cm. What is the circumference of this circle? [use $$π={22\over 7}$$]

A circular pavement was to be built around a square park of side 18 m. The maximum width of pavement is 5 m. Calculate the cost of cementing the pavement at Rs. 15 per m² .

The width of the path around a square field is 4.5 m and its area is 105.75 m². Find the cost of fencing the path at the rate of ₹100 per metre.

If three cubes of sides 3 cm, 4.5 m and 5 cm respectively are melted to form a big money, then find the side of the new cube.

The length of diagonal of a square is $${15\sqrt { 2}}$$cm. Its area is

The price of $$ {4{1\over2}}$$ meter of cloth is Rs.$$ {60{3\over4}}$$. Find the cost per meter.