Answer:
18√2
Step-by-step explanation:
The smaller triangle sharing a vertex with the larger one is similar and half the area. That means its linear dimensions are √(1/2) = (√2)/2 times those of the larger triangle.
The line segment of interest has length ...
36 × (√2)/2 = 18√2
_____
The ratio of area of similar figures is the square of the ratio of their linear dimensions. Thus the ratio of linear dimensions is the square root of the ratio of area.
<u>Given</u>:
Given that the diameter of the hemisphere is 12.6 cm
The radius of the hemisphere is given by
We need to determine the volume of the hemisphere.
<u>Volume of the hemisphere:</u>
Let us determine the volume of the hemisphere.
The volume of the hemisphere can be determined using the formula,
Substituting the values, r = 6.3 and π = 3.14, we have;
Simplifying the values, we have;
Dividing, we have;
Rounding off to the nearest tenth, we get;
Thus, the volume of the hemisphere is 523.5 cm³
Answer: 703.3125 in cubed
Step-by-step explanation:
The formula to find the volume of something is to…
1. Find the area of the base! Remember, area is length x width. In this case we would have 15.5 x 8.25 = 127.875
2. Multiply the base area we just found by the height! In this case, we take 127.875 x 5.5 and this gives us 703.3125 as our final answer!
Answer:
1960
Step-by-step explanation:
1960
times 56 times 7 time 5 = 1960
