Answer:
<u>Given</u>
a.
<u>Volume of the half-sphere:</u>
- V/2 = 1/2*4/3*πr³ = 2/3*3.14*1.6³ = 8.6 cm³ (rounded)
b.
<u>Volume of the cylinder:</u>
- V = πr²h = 3.14*1.6²*6.2 = 49.8 cm³
c.
<u>Volume of the figure:</u>
- V = 8.6 + 49.8 = 58.4 cm³
Answer:
5
Step-by-step explanation:
A constant is a number by itself, without any variables.
As you can see, 4 and 3 are coefficients of 
and 
respectively.
Thus, 5 is the constant term.
Answer:
1. x = 10
2. x = 8
3. x = 7
Step-by-step explanation:
1. Sum of Angles in a triangle = 180
(6x + 3) + (5x - 7) + 74 = 180
11x - 4 + 74 = 180
11x + 70 = 180
Subtract 70 from both sides
11x = 110
Divide both sides by 11
x = 10
2. (8x + 1) + (7x + 14) + 45 = 180
15x + 15 + 45 = 180
15x + 60 = 180
Subtract 60 from both sides
15x = 120
Divide both sides by 15
x = 8
3. We first have to get the 3rd angle: 180 - Exterior angle = 3rd angle
180 - 118 = 62
Now we can find the value of x
10x + (6 + 6x) + 62 = 180
16x + 68 = 180
Subtract 68 from both sides
16x = 112
Divide both sides by 16
x = 7
Answer:
cylinder:
curved sa = 2πrh
=> rectangle, breath = h, width = perimeter of circle = 2πr
total sa = 2πrh+2πr^2
=> curved sa + area of 2 circles
cone:
curved sa = πrl
=> treated as a triangle, base = circumference of circle, height = slant height
total sa = πr^2+πrl
=> curved sa + area of base (circle)
Answer: yes they are
Example: if you don’t believe me check for yourself :)
