Q:

the perimeter of the rectangle shown is 76 cm. it is rotated about line b.which best describes the resulting three-dimensional figure?•a cone with a base radius of 26cm•a cone with a base radius of 14cm•a cylinder with a base radius of 26cm•a cylinder with a base radius of 14cm

Accepted Solution

A:
If a rectangle is rotated about the line b, then the three-dimensional figure formed is cylinder with a circle base.One side of the rectangle has lenght of 24 cm. Let the second side has length of x cm. The perimeter of the rectangle is 76 cm, then24 + x + 24 + x = 76,2x + 48 = 76,2x= 76 - 48,2x= 28,x = 14 cm.Then  the three-dimensional figure is a cylinder with a base radius of 14 cm.Answer: correct choice is D