CAN ANYONE HELP KE WITH THESE TWO QUESTIONS AND SOLVE I WILL GIVE BRANIEST

Find the volume of the cylinder.

Find the volume of a cylinder with the same radius and double the height.

CAN ANYONE HELP KE WITH THESE TWO QUESTIONS AND SOLVE I WILL GIVE BRANIEST Find the volume of the cylinder Find the volume of a cylinder with the same radius an class=

Respuesta :

Answer:

Original cylinder:

Exact: [tex] V = 243 \pi~in.^3 [/tex]

Approximate: [tex] V = 763.4~in.^3 [/tex]

Double height cylinder:

Exact: [tex] V = 486 \pi~in.^3 [/tex]

Approximate: [tex] V = 1526.8~in.^3 [/tex]

Step-by-step explanation:

Original cylinder:

[tex] V = \pi r^2 h [/tex]

[tex]V = \pi \times (9~in.)^2 \times 3~in.[/tex]

Exact: [tex] V = 243 \pi~in.^3 [/tex]

Approximate: [tex] V = 763.4~in.^3 [/tex]

Cylinder with the height doubled:

[tex] V = \pi r^2 h [/tex]

[tex]V = \pi \times (9~in.)^2 \times 6~in.[/tex]

Exact: [tex] V = 486 \pi~in.^3 [/tex]

Approximate: [tex] V = 1526.8~in.^3 [/tex]

so for the first question its answer is 763.02 in and for the second one its 1,526.04

Step-by-step explanation:

1.

V = π r^2h

π = 3.14

V = 3.14 x 9^2 x 3

V= 3.14 x 81 x 3

V = 3.14 x 243

V = 763.02 in

2.

So we already know that 9^2 is 81 and that double 3 is 6

V = 3.14 x 81 x 6

V = 3.14 x 486

V = 3.14 x 486

V = 1,526.04 in