The radius and height of a right circular cone are in the ratio 5:12 and volume is 2512cm, then find the curved surface area and the total surface area of the cone is
1140.33cm2
1150.42cm2
1130.56cm2
1125.59cm2
A
1125.59cm2
B
1140.33cm2
C
1150.42cm2
D
1130.56cm2
Open in App
Solution
Verified by Toppr
Let the radius be 5x height be 12x
volume = 2512cm3
volume of right circular cone =13πr2h
2512=13×227×5x×5x×12x
⇒x3=8
⇒x=2
So radius = 10 cm height =24 cm
CSA=πrl=πr√π2h2
227×10√100+242=816.4
TSA=CSA+πr2
=816.4+227×10×10=1130.559
=1130.56cm2
Was this answer helpful?
23
Similar Questions
Q1
The radius and height of a right circular cone are in the ratio 5:12 and volume is 2512cm, then find the curved surface area and the total surface area of the cone is
View Solution
Q2
The radius and height of a right circular cone are in the ratio 3:4. Then the ratio of total surface area of the cone to its curved surface area is
View Solution
Q3
Radius and slant height of a solid right circular cone are in the ratio 3:5. If the curved surface area is 60πsq.cm, then find its total surface area.
View Solution
Q4
The radius and height of a right circular cone are in the ratio 4 : 3 and its volume is 2156 cm3. Fin the curved surface area of the cone.
View Solution
Q5
The ratio between the curved surface area and the total surface area of a right circular cone is 1:2 . Find the ratio between the height and radius