Answer:
The volume of the cone is 100.48 units³ approximately
Step-by-step explanation:
To find the volume of a cone with a diameter of 8 unit and height of 6 units, we will follow the steps below;
first, write down the formula for calculating the volume of a cone
v= πr²
where v is the volume of the cone
r is the radius and h is the height of the cone
from the question given, diameter d = 8 units but d=2r which implies r=d/2
r=8/2 = 4 units
Hence r= 4 units
height = 6 units
π is a constant and is ≈ 3.14
we can now proceed to insert the values into the formula
v= πr²
v ≈ 3.14 × 4² × 6/3
v ≈ 3.14 × 16 × 2
v ≈ 100 .48 units³
Therefore the volume of the cone is 100 .48 units³ approximately
Answer:
1.6666666667
Step-by-step explanation:
15 / 9 = 1.6666666667
Answer:
Step-by-step explanation:
Area of outer triangle = 
= 2x*4x + 2x*3
= 8x² + 6x
Area of inner triangle= 
Area of aluminium = area of outer triangle - area of inner triangle
= 8x² + 6x + 2x² + 5x
= 10x² + 11x
Area of 20 aluminum borders = 20*(10x² + 11x) = 200x² + 220x
b) x = 25 cm
Area of 20 aluminum borders = 200*25² + 220*25
= 200 * 625 + 220*25
= 125000 + 5500
= 130500 cm²
c) Area of inner triangle (Glass) = 5500 cm²
Cost of aluminium = 130500 * 0.06 = $ 7830
Cost of glass = 5500 * 0.03 = $ 165
Cost of making 20 windows = 7830 + 165 = $ 7995
Answer:
m∠3 = 112° m∠5 = 38° m∠6 = 68° m∠8 = 74°
You do the others
Step-by-step explanation:
Facts you need to solve this problem.
1. Vertical angles are congruent
2. Alternate interior angles are congruent when lines are parallel
3. Sum of the measures of the angles of a triangle is 180
4. Adjacent angles are supplementary when two lines intersect
m∠3 = 112° (Reason 1 above)
m∠6 = 180 - 112 = 68° (Reason 4)
m∠6 + m∠5 + 74 = 180° (Reason 3)
68 + m∠5 + 74 = 180
142 + m∠5 = 180
m∠5 = 38°
m∠8 = 74° (Reason 2)
That gives you a start, so I will let you find all the others. OK? I know you don't want to do that, but you need to be able to do this type of problem. Now, go for it!!
