Mathematics
The adjoining figure shows a hemisphere of radius 5 cm surmounted by a right circular cone of base radius 5 cm. Find the volume of the solid if the height of the cone is 7 cm. Give your answer correct to two places of decimal.
Mensuration
17 Likes
Answer
Height of the conical part (h) = 7 cm.
Radius of base (r) = 5 cm.
Volume of solid (V) = Volume of hemisphere + Volume of cone
Hence, the volume of the solid is 445.24 cm3.
Answered By
13 Likes
Related Questions
From a solid cylinder of height 30 cm and radius 7 cm, a conical cavity of height 24 cm and of base radius 7 cm is drilled out. Find the volume and the total surface of the remaining solid.
An exhibition tent is in the form of a cylinder surmounted by a cone. The height of the tent above the ground is 85 m and the height of the cylindrical part is 50 m. If the diameter of the base is 168 m, find the quantity of canvas required to make the tent. Allow 20% extra for folds and stitching. Give your answers to the nearest m2.
A buoy is made in the form of a hemisphere surmounted by a right cone whose circular base coincides with the plane surface of the hemisphere. The radius of the base of the cone is 3.5 metres and its volume is of the hemisphere. Calculate the height of the cone and the surface area of the buoy correct to 2 places of decimal.
A building is in the form of a cylinder surmounted by a hemisphere valted dome and contains of air. If the internal diameter of dome is equal to the total height of the building, find the height of the building.