Question

HELP PLEASE 7TH GRADE MATH MULTIPLE OPTION

What is the surface area of the cylinder represented by the net? Give your answers in terms of π.
Complete each sentence.

A net of a cylinder showing two circles, each touching one side of a rectangle between them. The radius of each circle is 3.2 centimeters. The side length of the rectangle that does not touch the circles is 8.7 centimeters.

The area of one circular base is
Choose...
π
cm2.


The perimeter of the circular base is
Choose...
π
cm.


The height of the cylinder is
cm.


The total surface area of the cylinder is
Choose...
π
cm2.

Answer 1

Explanation:

Area of one base:

`A=\pi r^2=\pi (3.2)^2 =10.24\pi cm^2`

Perimeter of circle base:

`P=2\pi r=2* \pi * 3.2 =6.4 \pi cm`

Height of cylinder:

`h=8.7cm` (given in question)

Total surface area:

`SA=` area 2 circles + area rectangle

`=(2* 10.24 \pi) +(6.4\pi* 8.7)` (Area rectangle = cylinder height x

circle perimeter)

`=239.26cm^2`