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Neko [114]
3 years ago
15

What is the volume of the cone

Mathematics
1 answer:
Romashka [77]3 years ago
6 0
I cant see this very well but I believe the answer is C
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Classwork 12.1 surface area
s344n2d4d5 [400]

Answer:

6) LA = 90 units² and SA = 202 units²

7) LA = 377 units² and SA = 477.5 units²

8) LA = 208 units² and SA = 232 units²

9) LA = 455 units² and SA = 591 units²

Step-by-step explanation:

* Lets revise the rules of lateral area and surface area

- Lateral area of the solid = perimeter of its base × its height

- Surface area = lateral area + 2 × area of its base

* Now lets solve the problems

6) The solid is a rectangular prism

- Its base is a rectangle with dimensions 8 units and 7 units

- Its height is 3 units

∵ Perimeter of the rectangle = 2(L + W)

∴ Perimeter of the base = 2(8 + 7) = 2(15) = 30 units

∴ LA = 30 × 3 = 90 units²

∵ Area of the rectangle = L × W

∴ Area of the base = 8 × 7 = 56 units²

∴ SA = 90 + 2 × 56 = 90 + 112 = 202 units²

7) The solid is a cylinder

- Its base is a circle with diameter 8 units

∴ Its radius = 8 ÷ 2 = 4 units

- Its height is 15 units

∵ The perimeter of the circle is 2πr

∴ The perimeter of the base = 2π(4) = 8π

∴ LA = 8π(15) = 120π = 376.99 ≅ 377 units²

∵ The area of the circle = πr²

∴ The area of the base = π(4)² = 16π

∴ SA = 120π + 2 × 16π = 120π + 32π = 152π = 477.5 units²

6) The solid is a triangular prism

- Its base is a triangle with sides 5 , 5 , 6 units and height 4 units

- Its height is 13 units

∵ Perimeter of the triangle is the sum of the 3 sides

∴ Perimeter of the base = 5 + 5 + 6 = 16 units

∴ LA = 16 × 13 = 208 units²

∵ Area of the triangle = 1/2 × base × height

∴ Area of the base = 1/2 × 6 × 4 = 12 units²

∴ SA = 208 + 2 × 12 = 208 + 24 = 232 units²

9) The solid is a prism

- Its base is an isosceles trapezium with parallel bases 7 units and 10

 units, 2 non-parallel bases 9 units and height 8 units

- Its height is 13 units

∵ Perimeter of the trapezium is the sum of its sides

∴ Perimeter of the base = 7 + 10 + 9 + 9 = 35 units

∴ LA = 35 × 13 = 455 units²

∵ Area of the trapezium = 1/2(b1 + b2) × h

∴ Area of the base = 1/2(7 + 10) × 8 = 68 units²

∴ SA = 455 + 2 × 68 = 455 + 136 = 591 units²

6 0
3 years ago
What is the solution set for 2x + 2 = 6, given the replacement set {1, 2, 3, 4}?
leva [86]
2x+2=6
2x=4
x=2

Hope this helps :)
7 0
3 years ago
Read 2 more answers
Maria is mailing packages. each small package costs her $2.20 to send. each large package costs her $2.90. how much will it cost
dlinn [17]
Multiply 2.90 by 6 and multiply 2.90 by 4 then add them and you get your answer
7 0
3 years ago
Calculate the value of each expression:<br> (-8)•(-2/3)<br> SHOW YOUR WORK:
inna [77]

Answer: \frac{16}{3}

Step-by-step explanation:

For this exercise it is important to remember  the multiplication of signs:

(+)(+)=+\\(-)(-)=+\\(-)(+)=-\\(+)(-)=-

In this case, given the following expression:

(-8)(-\frac{2}{3})

You can idenfity that both factors are negative. Then, the product (The result of the multiplication) will be positive.

Then, in order to get the product, you need to multiply the numerator of the fraction by -8. So, you get:

 \frac{(-2)(-8)}{3}=\frac{16}{3}

You can notice that the numerator and the denominator of the fraction obtained cannot be divided by the same number; therefore, the fraction cannot be simplified.

3 0
3 years ago
Is the negative square root 400 rational or irrational
Aleks [24]

Answer:

Step-by-step explanation:

Rational

8 0
2 years ago
Read 2 more answers
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