Asksia AI LOGO

Sia

Question
Math
Posted 2 months ago

Consider the following figure:

What solid 3D object is produced by rotating the rectangle about line mm ?
Choose 1 answer:
(A) A cylinder with diameter 8 units
(B) A cylinder with radius 1 unit
(C) A cone with radius 8 units
(D) A cone with diameter 1 units
Sign in to unlock the answer
Answer from Sia
Posted 2 months ago
Solution by Steps
step 2
The rectangle has a length of 4 units and a width of 1 unit. When rotating the rectangle about line mm, the width becomes the radius of the resulting 3D object
step 3
Since the width is 1 unit, the resulting 3D object will have a radius of 1 unit
step 4
The length of the rectangle does not affect the radius of the 3D object but determines the height of the cylinder
step 5
Therefore, the 3D object formed is a cylinder with a radius of 1 unit, not a cone, and the diameter is twice the radius, which would be 2 units, not 8 units
1 Answer
B
Key Concept
3D object formation by rotation
Explanation
When a 2D shape is rotated about a line, the distance from the line to the farthest point on the shape becomes the radius of the resulting 3D object. In this case, rotating a rectangle about a line parallel to its width forms a cylinder with the width as its radius.

Not the question you are looking for? Ask here!

Enter question by text

Enter question by image

Upgrade to Asksia Pro

Join a AskSia's Pro Plan, and get 24/7 AI tutoring for your reviews, assignments, quizzes and exam preps.

Unlimited chat query usages
Strong algorithms that better know you
Early access to new release features
Study Other Question