In a ∆ ABC, points P, Q and R are taken on AB, BC and CA, respectively, such that BQ=PQ and QC=QR. If ∠BAC = 75⁰, what is the measure of ∠PQR (in degress)?

In a triangle, two sides of 4 cm and 3 cm are at right angle. If the triangle is revolved along the 4 cm side, the curved surface area of the cone so formed will be

The diameter of the base of a right-circular cylinder is 12 cm and the height of the cylinder is 2.45 times the radius of its base. Find the curved surface area of the cylinder. [Use π=22/7]

A hemispherical bowl of internal radius 18 cm is full of liquid. This liquid is to be filled in cylindrical bottles each of radius 3 cm and height 6 cm. How many bottles are required to empty the bowl

If two circles of radii 18 cm and 8 cm touch externally, then the length of a direct common tangent is:

The radius and height of a right circular cone are in the ratio 3: 4. If its curved surface area (in cm²) is 240 π, then its volume (in cm³) is:

A solid metallic sphere of radius 15 cm is melted and recast into spherical balls of radius 3 cm each. What is the ratio of the surface area of the original sphere and the sum of the surface areas of all the balls?

The volume of a right rectangular pyramid is 220 m³. What is the height of the pyramid, if the area of its base is 55 m²?