Question

Sara is a drummer in her school's marching band. She wants to make a geometrically similar model of a snare drum for her stuffed animals. To find the dimensions she should use to make a cylindrical model with a scale of 1 : 4, Sara measures the radius and height of a snare drum and multiplies each dimension by . Which statement is true?
PLEASE HELP

Answer 1

Answer: A cylinder with Sara’s dimensions will be geometrically similar, but the scale factor will be 1:2

Step-by-step explanation:

Here is the complete question:

Sara is a drummer in her school’s marching band. She wants to make a geometrically similar model of a snare drum for her stuffed animals. To find the dimensions she should use to make a cylinder model with a scale of 1:4, Sara measures the radius and height of a snare drum and multiplies each dimensions by 1/2, which statement is true?

A. a cylinder with Sara’s dimensions will be geometrically similar, and scale factor will be 1:4

B. A cylinder with Sara’s dimensions will be geometrically similar, but the scale factor will be 1:2

C. a cylinder with Sara’s dimensions will be geometrically similar, but the scale factor will be 1:8

D. a cylinder with sara’s dimensions will not be geometrically similar

The ratio 1:4 would be the same as when it was written asa fraction as 1/4. Then, she multiplied the dimensions by 1/2, this would be a ratio of 1:2

Then the answer is that a cylinder with Sara’s dimensions will be geometrically similar, and the scale factor will be 1:2