TutorMe homepage
Subjects
PRICING
COURSES
SIGN IN
Start Free Trial
Samantha B.
Engineering student at The George Washington University
Tutor Satisfaction Guarantee
SAT II Mathematics Level 2
TutorMe
Question:

The diameter and height of a right circular cylinder are equal. If the volume of the cylinder is 2, what is the height of the cylinder?

Samantha B.
Answer:

We know that the volume of a right circular cylinder is given by V=π(r^2)h If the diameter and height are equal, then r=h/2 Thus, V=2= π((h/2)^2)h 2 = π(h^2/4)h 2 = (π/4)h^3 8/π = h^3 h=∛(8/π) h=1.37

Physics (Newtonian Mechanics)
TutorMe
Question:

You are standing on the roof of a twelve story building. You reach your hand out and drop a ball straight down. Assuming that each story is 5 meters, and ignoring the effects of air resistance, how long does it take the ball to hit the ground?

Samantha B.
Answer:

We start with the equation ∆x=vo∆t + ½ a∆t^2 We know that the original velocity has to be 0, so the equation becomes ∆x= ½ a∆t^2 Solving for ∆t, we get ∆t = √(2∆x/a) We know that a is the acceleration due to gravity, or 9.8 m/s^2 We also know that ∆x is distance to the ground, or 12 x 5meters = 60 meters Plugging these numbers into the equation, we get that ∆t = √((2(60meters))/((9.8 m/(s^2)))) = 3.5 seconds

Geometry
TutorMe
Question:

Suppose you have four circles, each of radius 5 feet, lined up in a row so that each is barely touching the last, and then inscribed in a rectangle. Find the area of the space outside of the circles but within the rectangle.

Samantha B.
Answer:

Four circles of radius 5 feet give us a total length of 40 feet, and a height of 10 feet. Thus, the area of the rectangle is 40 feet x 10 feet = 400 square feet. The area of each circle will be pi(radius)^2 or 25pi square feet Thus, the total area of all four circles is 100pi square feet, or approximately 314 square feet. Subtracting this from 400 square feet, we get that the area of this space is approximately 86 square feet.

Send a message explaining your
needs and Samantha will reply soon.
Contact Samantha
Ready now? Request a lesson.
Start Session
FAQs
What is a lesson?
A lesson is virtual lesson space on our platform where you and a tutor can communicate. You'll have the option to communicate using video/audio as well as text chat. You can also upload documents, edit papers in real time and use our cutting-edge virtual whiteboard.
How do I begin a lesson?
If the tutor is currently online, you can click the "Start Session" button above. If they are offline, you can always send them a message to schedule a lesson.
Who are TutorMe tutors?
Many of our tutors are current college students or recent graduates of top-tier universities like MIT, Harvard and USC. TutorMe has thousands of top-quality tutors available to work with you.