Question

HELP ASAP WILL MARK BRAINLIEST AREA OF FIGURES

Answer 1

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

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

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

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

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

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

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

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

Answer 2

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*

$1922m^{3}$