Question

What is the volume of the composite figure shown? (Use 3.14 for π.)
figure shown in comments

Answer 1

this composite figure is made up of a cylinder and a cone

so you'll use the formulas


Volume of a Cylinder:

V = pi*r^2*h

Volume of a Cone

V = (1/3)*pi*r^2*h

Answer 2

r = radius
h = height

Answer 3

so that is 7x7= 49

Answer 4

the radius will be the same for both, but the heights are different for the two figures

Answer 5

in the case of the cylinder,

r = 7
h = 6

for the cone,

r = 7
h = 7

Answer 6

yes you'll have 7^2 = 7*7 = 49 in there somewhere

Answer 7

so for the cone it's 49 and the cylinder is 42

Answer 8

not quite

Answer 9

in confused

Answer 10

Volume of the Cylinder:

V = pi*r^2*h

V = pi*7^2*6

V = pi*49*6

V = pi*294

V = 294pi



Volume of the Cone

V = (1/3)*pi*r^2*h

V = (1/3)*pi*7^2*7

V = (1/3)*pi*49*7

V = (1/3)*pi*343

V = (1/3)*343*pi

V = (343/3)*pi



These two volumes add to get the volume of the composite figure


Volume of Composite Figure = Volume of Cylinder + Volume of Cone


Volume of Composite Figure = 294pi + (343/3)*pi


Volume of Composite Figure = ( 294 + 343/3)*pi


Volume of Composite Figure = ( 294*3/3 + 343/3)*pi


Volume of Composite Figure = ( 882/3 + 343/3)*pi


Volume of Composite Figure = ( (882 + 343)/3)*pi


Volume of Composite Figure = (1225/3)*pi

Answer 11

since we're using 3.14 for pi, this means


Volume of Composite Figure = (1225/3)*pi


Volume of Composite Figure = (1225/3)*3.14


Volume of Composite Figure = 1,282.16666666667


and you can round that however you need to

Answer 12

so it would be 1.282.17?

Answer 13

if you're rounding to 2 decimal places, yes

Answer 14

Ok, thanks so much!!

Answer 15

you're welcome