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Brrunno [24]
2 years ago
7

HELP ASAP WILL MARK BRAINLIEST AREA OF FIGURES

Mathematics
2 answers:
aalyn [17]2 years ago
7 0

Answer:

1) 175 in^2

2) 1st option

3) 92 m^2

4) 2412 in^3\\

5) 2nd option

Step-by-step explanation:

1)\ A = D * Pi = 5 * 3.14 = 15.7\\

2)\ V_{1}  = 15.7 * 7 = 109.9

3)\ V_{2} = 4Pi*\frac{R^3}{3} = 12.56*\frac{15.625}{3} = 65.41(6)

4)\ V_1 + V_2 = 65.4 + 109.9 = 175.3 which is close to 175

1)\ A = Pi * R^2 = 3.14 * (\frac{6}{2})^2 = 3.14 * 3^2 = 28.26\\

2)\ V_1 = A * h = 28.26 * 10 = 282.6

3)\ V_2 = \frac{4}{3} * Pi * R^3 = \frac{4}{3} * 3.14 * (\frac{6}{2})^3 = 113.04

4)\ V_1 + V_2 = 282.6 + 113 = 395.6 which is very close to 396

5)\ 396 = 126 * pi

1) V_1 = \frac{1}{3} * Pi * R^2 * h = \frac{1}{3} * 3.14 * 2^2 * 5 = 20.9(3) =

2)\ V_2 = \frac{4}{3} * Pi * R^3 = \frac{4}{3} * 3.14 * 3^3 = 113.04\\

3)\ V_2 - V_1 = 113.04 - 20.93 = 92.14 which is very close to 92

1)\ V_1 = \frac{\frac{4}{3} * Pi * R^3}{2} = \frac{\frac{4}{3} * 3.14 * 512}{2} = 1,071.786\\

2)\ V_2 = \frac{1}{3} * Pi * R^2 * h = \frac{1}{3} * 3.14 * 64 * 20 = 1,339.733

3)\ V_1 + V_2 = 1072 + 1340 = 2,411 = 2412

1)\ A = Pi * R^2 = 36*Pi\\

2)\ V_1 = 36*Pi * 16 = 576 * Pi\\

3)\ V_2 = \frac{1}{3} * Pi * R^2 * h = \frac{1}{3} * Pi * 36 * 3 = 36 * Pi

4) V_1 + V_2 = 576Pi + 36Pi = 612Pi

Lerok [7]2 years ago
4 0

Answer:

1. 170.083 in³

2. 126π in³

3. 92.106 m³

4. 2412.74 in³

5. 612π m³ and 1922 m³

Step-by-step explanation:

1.

Cylinder:

V = \pi r^{2}h               *Plug in numbers*

(3.14)(2.5)^{2}(7)         *Square 2.5*

(3.14)(6.25)(7)        *Solve*

≈ 137.375in^{3}

Sphere:

V = \frac{4}{3}\pi r^{3}              *Plug in numbers*

\frac{4}{3} (3.14)(2.5)^{3}         *Cube 2.5*

\frac{\frac{4}{3}(3.14)(15.625)}{2}         *Divide by 2 and Solve*

≈ 32.7083 in^{3}

Add both volumes

137.375 + 32.7083 ≈ 170.083in^{3}

2.

Cylinder:

V = \pi r^{2}h         *Plug in numbers*

\pi (3)^{2}(10)            *Square 3*

\pi (9)(10)             *Multiply*

90\pi

Sphere:

V = \frac{4}{3} π r^{3}            *Plug in numbers*

\frac{4}{3}\pi (3)^{3}                   *Cube 3*

\frac{4}{3} \pi (27)                   *Multiply*

36\pi

Add both Volumes to get total

90\pi + 36\pi = 126in^{3}

3.

Sphere:

V = \frac{4}{3}\pi r^{3}              *Plug in numbers*

\frac{4}{3} (3.14)(3)^{3}            *Cube 3*

\frac{4}{3} (3.14)(27)            *Multiply*

113.04m^{3}

Cone:

V = \frac{\pi r^{2}h}{3}             *Plug in numbers*

\frac{(3.14)(2)^{2}(5)}{3}           *Square 2*

\frac{(3.14)(4)(5)}{3}             *Solve*

20.93m^{3}

Subtract the volumes to get the volume of the blue area

113.04 - 20.93 = 92.106m^{3}

4.

Sphere:

V = \frac{4}{3} \pi r^{3}            *Plug in numbers*

\frac{4}{3}\pi (8)^{3}                 *Cube 8*

\\\frac{4}{3}\pi (512)               *Multiply*

\\\\\pi (682.6)              *Solve*

2133.66in^{3}           *Divide by 2 since it's a hemisphere*

Cone:

V = \frac{\pi r^{2}h}{3}            *Plug in numbers*

\frac{\pi (8)^{2}(20)}{3}              *Square 8*

\frac{\pi (64)(20)}{3}              *Multiply and Divide*

1340.41 in^{3}

Add both volumes

1072.33 + 1340.41 = 2412.74in^{3}

5.

Cylinder:

V = \pi r^{2}h            *Plug in numbers*

\pi (6)^{2}(16)              *Square 6*

\pi (36)(16)             *Multiply*

576\pi

Cone:

V = \frac{\pi r^{2}h}{3}            *Plug in numbers*

\frac{\pi (6)^{2}3}{3}                  *Square 6*

36\pi

Add both volumes

576\pi + 36\pi = 612\pi m^{3}

Alternative: *Multiply π*

1922m^{3}

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