Question

Read the following , understand the mathematical idea expressed in it and answer the question ?

1)The volume of a cone is the one-third of the product of it's Base area and Height .The curved surface area of a cone is half the product of base circumstances and height ?

2)A cylinder of wax has radius 6cm and height 8cm a cone of largest size is curved from it ?

sub question
a) What is the radius ?
b) What is the slant height of the cone?
c) Find the volume of the cone?
d) What is the CSA ?
e) The remained wax is used to make candle with 1cm radius and 8cm height ?

sub question of e question

a) Find the volume of the candle?
b) How many can we make ?
​

Answer 1

Step-by-step explanation:

1.Consider the given slant height l and radius=r of the cone,

Curved surface area=(Arc length of sector/Circumference of circle)×Area of circle Curved surface area

=

2πl

2πr

×πl

2

=πrl

2.Volume of the sphere=

3

4

π.5

3

=

3

500

π

Volume of the cone =

3

1

πr

2

.

2

5

=

6

5

πr

2

∴

6

5

πr

2

=

3

500

π⇒r=10

3.(a) Volume of cone =

3

1

πr

2

h=

3

1

π(6)

2

12=144πcm

3

(b) Volume of cylinder =πr

2

h=π(6)

2

12=432πcm

3

Volume of remaining wax =432π−144π=288πcm

3

Volume of one candle =πr

2

h=π×1

2

×12=12πcm

3

Thus, number of candles =

12π

288π

=24

Thus, number of candles is 24.

plzzz mark me as brainliest plzzz