Question

This was the question it got deleted I just need 1,2,5

Answer 1

Answer:

1. The volume of the cylinder is 263 $cm^{3}$.

2. The volume of the cylinder is 12 $m^{3}$.

3. The volume of the cylinder is 3165.1 $cm^{3}$.

4. The radius of the cylinder is 3.6 cm.

5a. Area of the base is 50.2 $cm^{2}$.

5b. The curved surface area of the pencil holder is 351.7 $cm^{2}$.

5c. The surface are of the pencil holder is 452.2 $cm^{2}$.

Step-by-step explanation:

1. The given shape is a cylinder, so that;

volume of a cylinder = $\pi$$r^{2}$h

                                  = 3.14 x $(3.8)^{2}$ x 5.8

                                  = 262.98128

The volume of the cylinder is 263 $cm^{3}$.

2. This is also a cylinder, but with a given diameter.

radius = $\frac{diameter}{2}$

          = $\frac{1.2}{2}$ = 0.6 m

volume of a cylinder = $\pi$$r^{2}$h

                                  = 3.14 x $(0.6)^{2}$ x 10.6

                                  = 11.98224

The volume of the cylinder is 12 $m^{3}$.

3. volume of a cylinder = $\pi$$r^{2}$h

                                      = 3.14 x $6^{2}$ x 28

                                      = 3165.12

The volume of the cylinder is 3165.1 $cm^{3}$.

4. volume of a cylinder = $\pi$$r^{2}$h

239 = 3.14 x $r^{2}$ x 6

239 = 18.84 $r^{2}$

$r^{2}$ = $\frac{239}{18.84}$

   = 12.6858

r = $\sqrt{12.6858}$

 = 3.5617

The radius of the cylinder is 3.6 cm.

5. Area of the base = $\pi$$r^{2}$

radius = $\frac{diameter}{2}$

           = $\frac{8}{2}$ = 4 cm

Area of the base = 3.14 x $4^{2}$

                            = 50.24

Area of the base is 50.2 $cm^{2}$.

5b. Area of the curved surface of the pencil holder = 2$\pi$rh

                                                                    = 2 x 3.14 x 4 x 14

                                                                     = 351.68

The curved surface area of the pencil holder is 351.7 $cm^{2}$.

5c. Surface area of the pencil holder = 2$\pi$rh + 2$\pi$$r^{2}$

                               = 2$\pi$r(h + r)

                                = 2 x 3.14 x 4 (14 + 4)

                                = 452.16

The surface are of the pencil holder is 452.2 $cm^{2}$.