To find the volume of an open hollow cylinder, you need to subtract the volume of the inner cylinder from the volume of the outer cylinder.
The volume of the outer cylinder can be calculated using the formula V = πr^2h, where r is the base radius and h is the height.
Volume of outer cylinder = π * 14^2 * 33 = 20,790π
The volume of the inner cylinder can also be calculated using the same formula, but with a smaller radius. Since the cylinder is hollow, you need to subtract this volume from the outer cylinder.
Volume of inner cylinder = π * (14-1)^2 * 33 = 19,278π
Volume of open hollow cylinder = Volume of outer cylinder - Volume of inner cylinder
= 20,790π - 19,278π = 1512π cubic units
To find the surface area of an open hollow cylinder, you need to calculate the surface area of the outer cylinder and subtract the surface area of the inner cylinder.
The surface area of the outer cylinder can be calculated using the formula A = 2πrh + 2πr^2, where r is the base radius and h is the height.
Surface area of outer cylinder = 2π * 14 * 33 + 2π * 14^2 = 924π + 616π = 1540π square units
The surface area of the inner cylinder can also be calculated using the same formula but with a smaller radius. Since the cylinder is hollow, you need to subtract this surface area from the outer cylinder.
Surface area of inner cylinder = 2π * (14-1) * 33 + 2π * (14-1)^2 = 882π + 392π = 1274π square units
Surface area of open hollow cylinder = Surface area of outer cylinder - Surface area of inner cylinder
= 1540π - 1274π = 266π square units
Find the volume and the surface area of open hollow cylinder with base radius 14 and a height of 33
1 answer
1 answer