Annette ran a Christmas fair where she sold strawberry scented candles among other items. She
had candles that were both cylindrical and spherical in shape, and all her candles carried
the same amount of wax. Her cylindrical candles had a radius of 3 cm and height 8 cm
i) What is the radius of the spherical candle?
ii) What is the volume of wax in the spherical candle?
iii) She paints the cylindrical candle in green. What is the total area that she
paints?
iv) She melted above 2 cylindrical candles and one spherical candle to make a
new cube shaped candle. What would be the size of the new candle formed?
v) What is the ratio of the volume of a cubical candle to the volume of a
cylindrical candle?
plss answer only if u know
15 points fo rthis question
answer fasst plss
Answers
Answered by
1
Answer:
In order to determine the amount of wax needed to make a cylindrical or spherical candle, you need to know the volume of both the cylinder and sphere.
The formula for volume of a cylinder is:
V
=
π
r
2
h
The formula for volume of a sphere is:
V
=
4
3
π
r
3
Volume of Cylinder
π
=
3.14
r
=
2 in
h
=
4 in
Plug the known values into the formula for the volume of a cylinder.
V
=
π
×
(
2
in
)
2
×
4
in
=
50.24 in
3
Volume of Sphere
π
=
3.14
r
=
2 in
Plug the known values into the formula for the volume a sphere.
V
=
4
3
×
3.14
×
(
2
in
)
3
=
33.49
Difference in Volumes
50.24
in
3
−
33.49
in
3
=
16.75
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