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Standard IX
Mathematics
Volume of a right circular cone
Question
The cost of painting the curved surface area of a cone at
5
p
s
/
c
m
2
is
R
s
35.20
, find the volume of the cone if its slant height is
25
c
m
.
1323
c
m
3
1332
c
m
3
1223
c
m
3
1979
c
m
3
A
1223
c
m
3
B
1979
c
m
3
C
1323
c
m
3
D
1332
c
m
3
Open in App
Solution
Verified by Toppr
Curved surface area of cone painted
=
35.20
0.05
=
704
c
m
2
.
⇒
π
r
l
=
704
c
m
2
⇒
r
=
704
×
7
22
×
25
=
8.96
c
m
≈
9
c
m
.
Now,
h
=
√
l
2
−
r
2
=
√
(
25
)
2
−
(
9
)
2
=
√
625
−
81
=
√
544
=
23.32
c
m
.
Therefore, Volume of cone
=
1
3
π
r
2
h
=
1
3
×
22
7
×
9
×
9
×
23.32
=
1979
c
m
3
.
Hence, option
B
is correct.
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3
Similar Questions
Q1
The cost of painting the curved surface area of a cone at
5
p
s
/
c
m
2
is
R
s
35.20
, find the volume of the cone if its slant height is
25
c
m
.
View Solution
Q2
The cost of painting the total surface area of cone at 25 paise per
c
m
2
is Rs 176. Find the volume of the cone, if its slant height is 25cm.
View Solution
Q3
The cost of painting the total surface area of a cone at
25
paise per cm
2
is Rs.
176
. Find the volume of the cone, if its slant height is
25
cm.
View Solution
Q4
The circumference of the base of a cone is 44 cm and its slant height is 25 cm. Find the volume and curved surface area of the cone.
View Solution
Q5
A cone of slant height 25 cm has a curved surface are 550 cm
2
. Find the height and volume of the cone.
View Solution