Solving mathematical and real-world problems involving surface area of cylinders

^{_{What is the Lateral Area of the Figure}}

• 163in³
• 188.4in²
• 283in²
• 324in³

Find the surface area of the cylinder.
Leave your answers in terms of  $\pi$  

•  $150\pi$   square centimeters

•  $75\pi$   square centimeters

•  $100\pi$   square centimeters

•  $125\pi$   square centimeters

What is the surface area of this tower? Include the floor and roof.

• 4592.25 square feet

• 4241.11 square feet

• 4418.42 square feet

• 4945 square feet

The ratio of the corresponding linear measures of two similar buckets of popcorn is 2 to 5.
A. The larger bucket (with lid) has a surface area of 250 square inches. Find the surface area of the smaller bucket (with lid). Round your answer to the nearest tenth. 

• 40 in²
• 35 in²
• 21.7 in²
• 49 in²

• cubic root

• square root

• tree root

Find the surface area of the cylinder with the following dimensions: 
radius = 3 in
height = 8 in 

• 207.24 in squared
• 310.76 in squared
• 602.88 in squared
• 784.67 in sqaured

Find the surface area of the cylinder.
Leave your answers in terms of  $\pi$  
Recall:  $SA=2\pi r\cdot h+2\pi r^2$  

•  $150\pi$   square centimeters

•  $75\pi$   square centimeters

•  $100\pi$   square centimeters

•  $125\pi$   square centimeters

Imagine you are tasked with painting the exterior surface of a cylindrical water tank. What is the formula to calculate the total surface area you need to cover with paint?

• 2πrh

• πr^2h

• 2πr^2

• 2πr(r+h)

What is the surface area of the cylinder to the nearest square inch?  Do not use a comma.

(a)  

What is the length of the pencil in the cylinder if the height is 12 inches and the diameter of the base is 10 inches?

• 15.6 in.

• 6.6 in.

• 44 in.

• 16 in.