Mensuration
The curved surface area of a right circular cone is 6500π cm², and the diameter of its base is 100 cm. Find the height (in cm) of the cone.
The curved surface area of a right circular cone is 5400π cm², and the diameter of its base is 144 cm. Find the height (in cm) of the cone.
Calculate the area of a triangle whose sides measure 3 cm, 4 cm, and 5 cm.
Determine the volume of a right circular cylinder possessing a base radius of 7 cm and a vertical height of 10 cm. (Assume π = 22/7)