Question

PLEASE HELP ASAP !!

Answer 1

Answer:

1. 953.775 cm³

2. 18,086.4 yd³

3. height: q ; side: r

4. 726 cm³

Step-by-step explanation:

1. Volume = pi × r² × h

= 3.14 × (9/2)² × 15

= 953.775 cm³

2. Volume = pi × r² × h

= 3.14 × 12² × 40

= 18086.4 yd³

3. height: q ; side: r

4. Volume = ⅓ base area × height

= ⅓ × 11² × 18

= 726 cm³

Answer 2

Answer:

     First figure:            $954cm^3$

     Second figure:      $1,508yd^3$

     Third figure:

•          Height= q
•           Side length = r

     Fourth figure:        $726cm^3$

Explanation:

A. First figure:

1. Formula:

            $\text{Volume of a cylinder}=\pi \times radius^2\times length$

2. Data:

• radius = 9cm / 2 = 4.5cm

• length = 15 cm

3. Substitute in the formula and compute:

          $Volume=\pi \times (4.5cm)^2\times (15cm)\approx 954cm^3\approx 954cm^3$

B. Second figure

1. Formula:

       $\text{Volume of a leaned cylinder}=\pi \times radius^2\times height$

2. Data:

• radius = 12yd

• height = 40 yd

3. Substitute and compute:

      $Volume=\pi \times (12yd)^2\times (40yd)\approx 1,507.96yd^3\approx 1,508yd^3$

C) Third figure

a) The height is the segment that goes vertically upward from the center of the base to the apex of the pyramid, i.e.  q  .

The apex is the point where the three leaned edges intersect each other.

b) The side length is the measure of the edge of the base, i.e.  r .

When the base of the pyramid is a square the four edges of the base have the same side length.

D) Fourth figure

1. Formula

The volume of a square pyramide is one third the product of the area of the base (B) and the height H).

          $Volume=(1/3)B\times H$

2. Data:

• height: H = 18cm

• side length of the base: 11 cm

3. Calculations

a) Calculate the area of the base.

The base is a square of side length equal to 11 cm:

          $\text{Area of the base}=B=(11cm)^2=121cm^2$

b) Volume of the pyramid:

         $Volume=(1/3)B\times H=(1/3)\times 121cm^2\times 18cm=726cm^3$