Find the volume and the lateral area of a frustum of a right circular cone whose radii are 4 and 8 cm, and slant height is 6 cm.
a chimney, 100 ft. high, is in the form of a frustum of a right circular cone with radii 4 ft. and 5 ft. find the lateral surface area of the chimney.
the volume of a frustum of a right circular cone is 52π ft3. its altitude is 3 ft. and the measure of its lower radius is three times the measure of its upper radius. find the lateral area of the frustum.
a frustum of a right circular cone has an altitude of 24 in. if its upper and lower radii are 15 in. and 33 in., respectively, find the lateral area and volume of the frustum.
in a frustum of a right circular cone, the radius of the upper base is 5 cm and the altitude is 8√3cm. if its slant height makes an angle of 60° with the lower base, find the total surface area of the frustum.
a water tank in the form of an inverted frustum of a cone has an altitude of 8 ft., and upper and lower radii of 6 ft. and 4 ft., respectively. find the volume of the water tank and the wetted part of the tank if the depth of the water is 5 ft.
the total surface area of a frustum of a right circular cone is 435π cm2, and the base areas are 81π cm2 and 144π cm2. find the slant height and the altitude of the frustum.
the base edges of a frustum of a regular pentagonal pyramid are 4 in. and 8 in., and its altitude is 10 in. find the volume and the total area of the frustum.
find the volume of a frustum of a regular square pyramid if the base edges are 14 cm and 38 cm, and the measure of one of its lateral edges is 24 cm.
find the volume of a frustum of a regular square pyramid if the base edges are 7 cm and 19 cm, and the lateral edge is inclined at an angle of 60° with the lower base.
find the volume of a frustum of a regular square pyramid if the base edges are 13 cm and 29 cm, and the lateral edge is inclined at an angle of 45° with the lower base.
the base edges of a frustum of a regular square pyramid measure 20 cm and 60 cm. if one of the lateral edges is 75 cm, find the total surface area of the frustum.
a frustum of a regular hexagonal pyramid has an upper base edge of 16 ft. and a lower base edge of 28 ft. if the lateral area of the frustum is 1,716 ft.2, find the altitude of the frustum.
a regular hexagonal pyramid has an upper base edge of 16 ft. and a lower base edge 28 ft. if the volume of the frustum is 18,041 ft.3, find the lateral area of the frustum.
the lateral area of a frustum of a regular triangular pyramid is 1,081 cm2, and the altitude and lateral edge are 24 cm and 26 cm, respectively. find the lengths of the sides of the bases.