Mathematics, 07.04.2020 20:12 Daruk

Consider this composite figure made of a cone and a cylinder. A cone has a height of 8 centimeters and radius of 3 centimeters. A cylinder has a height of 7 centimeters and radius of 3 centimeters. What is the volume of the cone?

Answers: 1

Show answers

Answers

The volume of cone is 75.4 cubic centimeters and the volume of cylinder is 197.92 cubic centimeters. The volume of composite figure is 273.32 cubic centimeters.

Step-by-step explanation:

The given is,

Composite figure made of a cone and a cylinder.

A cone has a height of 8 centimeters and radius of 3 centimeters.

A cylinder has a height of 7 centimeters and radius of 3 centimeters.

Step:1

Volume of composite figure = Volume of Cone +

Volume of cylinder............(1)

Step:2

Formula for volume of cone,

$Volume of cone, V_{cone} = \pi r^{2} \frac{h}{3}$ ....................(2)

Where, r - Radius of cone

h - Height of cone

From the given,

r = 3 centimeters

h = 8 centimeters

Equation (2) becomes,

$= \pi (3^{2} )(\frac{8}{3})$

$=\pi (9)(2.667)$

= (3.14 × 9 × 2.667) (∵ $\pi$ = 3.1415)

= 75.4

$Volume of cone, V_{cone}$ = 75.4 cubic centimeters

Step:3

Formula for volume of cylinder,

$Volume of cone, V_{cone} = \pi r^{2} h$ ....................(2)

Where, r - Radius of cylinder

h - Height of cylinder

From the given,

r = 3 centimeters

h = 7 centimeters

Equation (2) becomes,

$= \pi (3^{2} )(7)$

$=\pi (9)(7)$

= (3.14 × 9 × 7) (∵ $\pi$ = 3.1415)

= 197.92

$Volume of cylinder, V_{cylinder}$ = 197.92 cubic centimeters

Step:4

Equation (1) becomes,

Volume of composite figure = 75.4 + 197.92

= 273.32 cubic centimeters

Result:

The volume of cone is 75.4 cubic centimeters and the volume of cylinder is 197.92 cubic centimeters. The volume of composite figure is 273.32 cubic centimeters.

Answer from: Quest

add an image !

step-by-step explanation:

Answer from: Quest

Answer for 2: his profit would be $2.88 explanation: you have to first multiply 72 and 0.12 together to get $8.64 once you do that you know how much money the shopkeeper made from selling the candy bars individually. so you have to do 8.64-5.76=2.88 hope that ; )answer for 3: yeah i’m sorry i have no idea what number 3 is. i’m sorry i couldn’t with that.
I'm going to add u to plsss answer questions 2 n 3

I'm going to add u to plsss answer questions 2 n 3

Other questions on the subject: Mathematics

Mathematics, 21.06.2019 15:00, tynitenaire

Idon’t understand this.. will someone ? will mark brainliest along with 20 points.

Answers: 1

continue

Mathematics, 21.06.2019 19:30, aly95

Ann and betty together have $60 ann has $9 more than twice betty’s amount how much money dose each have

Answers: 1

continue

Mathematics, 21.06.2019 20:00, aliahauyon20

The rectangle shown has a perimeter of 108 cm and the given area. its length is 6 more than five times its width. write and solve a system of equations to find the dimensions of the rectangle.

Answers: 3

continue

Mathematics, 21.06.2019 23:10, ebonsell4910

Larry wants to buy some carpeting for his living room. the length of the room is 4 times the width and the total area of the room is 16 square meters. what is the length of the living room

Answers: 1

continue

You know the right answer?

Consider this composite figure made of a cone and a cylinder. A cone has a height of 8 centimeters a...