Evan is painting a stool that has a cylindrical seat and four rectangular prism legs. The seat has a diameter of ten inches and a height of 3 inches. Each leg is 3 inches by 3 inches by 12 inches. How much area will Evan have to paint? Use three point one four for pi. Show your work.

Question

anonymous · Answer

@Barrelracer011

barrelracer011 · Answer

Surface Area of Cylinder : 
= 2πrh + 2πr ² 
= 2 x 3.14 x 5 x 3 + 2 x 3.14 x 5 ² 
= 94.2 + 157 
= 251.2 in. ² 


Area of a rectanglar prism: 
= 2lw + 2lh + 2wh 
= 2 x 3 x 3 + 2 x 3 x 12 + 2 x 3 x 12 
= 18 + 72 + 72 
= 162 in. ² 

Now multiply 162 by 4 = 648 in. ² 

Now add the area of the cylider and the area of the four rectangular prisms: 
251.2 + 648 = 899.2 

The area of the stool is 899.2 in. ²