The formula for calculating volume of the cylinder is
V= B * H
First volume V1= B * H1 and second volume V2= B * H2
H1= 2 H2
when we divide V2/V1 = (B*H2)/(B*H1) => when we shorten B and B we get
V2/V1 = H2 / H1 when we replace H1 we get V2/V1 = H2/ 2H2
when we shorten H2 and H2 we get V2/V1 = 1/2
The correct answer is the volume of the second cylinder is one-half the volume of the first cylinder.
Good luck!!!
Answer:
Engineering
Step-by-step explanation:
Start by eliminating illogical choices: dentistry, business, literature.
That leaves science and engineering.
Designs of suspension bridges usually include half parabolas or half hyperbolas, which indicates that engingeering is the logical choice here.
Science is discovery and understanding of the natural, physical world, whereras engineering is the application of knowledge and tools, of which space curves (such as hyperbolas) are one.
Answer:
1.778 times more or 16/9 times more
Step-by-step explanation:
Given:
- Mirror 1: D_1 = 8''
- Mirror 2: D_2 = 6"
Find:
Compare the light gathering power of an 8" primary mirror with a 6" primary mirror. The 8" mirror has how much light gathering power?
Solution:
- The light gathering power of a mirror (LGP) is proportional to the Area of the objects:
LGP ∝ A
- Whereas, Area is proportional to the squared of the diameter i.e an area of a circle:
A ∝ D^2
- Hence, LGP ∝ D^2
- Now compare the two diameters given:
LGP_1 ∝ (D_1)^2
LGP ∝ (D_2)^2
- Take a ratio of both:
LGP_1/LGP_2 ∝ (D_1)^2 / (D_2)^2
- Plug in the values:
LGP_1/LGP_2 ∝ (8)^2 / (6)^2
- Compute: LGP_1/LGP_2 ∝ 16/9 ≅ 1.778 times more
