Volume of a conical bucket having bottom and top radii 30 cm and 60 cm and height 1 meter.

M4maths Previous Puzzles

09 Apr 2015 Find the volume

Volume of a conical bucket having bottom and top radii 30 cm and 60 cm and height 1 meter.

OPtion

1) 660 litre
2) 450 litre
3) 780 litre
4) 6.6 litre
5) 4.5 litre
6) 7.8 litre
7) .66 litre
8) .45 litre
9) .78 litre
10)106 litre

Solution

Volume of bucket = [1/3*Pi*(2R)^2*2h] - (1/3*Pi*R^2 h)
where R and 2R are bottom and top radii and height 1 meter.
7/3 Pi R^2 h
= 7/3*22/7*(.3)^2*1
= 0.66 m^3
= 660 litre
Option 1)

Correct Option: 1 Best Solution (28)

Anuj Rai   9 years AGO

Using formula of volume of frustum
V=(pie*height(R^2+R*r+r^2))/3
where R=60cm and r-30 cm and height =100cm
we get 660 litres

Like? Yes (4) | No   

Samyak   9 years AGO

v =1/3*PI8(r12 +r1*r2+r22)
So its value 660 ltr

Like? Yes (2) | No   

Anuj Rai   9 years AGO

Calculate it using formula of frustum R=60cm and r=30cm and height =100cm
volume will be 660 litre

Like? Yes (2) | No   

MRITUNJAY   9 years AGO

volume of frustum of cone=Pi*h(R^2+R*r+r^2)/3
=22/21*100*(3600+60*30+900)
=22/21*630000
=22*30000
=660000
=660 litre

Like? Yes (2) | No   

siddharth prakash singh   9 years AGO

volume of conical bucket=pi/3*h*(r1^2+r1*r2+r2^2)
putting given values,
22/21*100*(900+1800+3600)
=660000 cm^3
=660 litre

Like? Yes (2) | No   

praveen kumar   9 years AGO

1 is right ans

Like? Yes (1) | No   

ABHINAV PUSHPAM   9 years AGO

Volume of frustum = πh/3(R^2+r^2+Rr)
Putting h=100cm, R=60cm, r=30cm
Volume = 660000 cm^3 = 660 litre is answer
So option 1)

Like? Yes (2) | No (1)  

prabhat kumar   9 years AGO

vol of frustum 660000
so 660 lt.

Like? Yes (1) | No   

RAKESH   9 years AGO

22/7 * 100/3 * (900+3600+1800) /1000 = 660 l

Like? Yes (1) | No   

Josepheena Joseph   9 years AGO

volume of conical bucket = 1/3*3.14*( r1^2 + r2^2 + r1*r2 )*h
=1 / *3.14*(30^2 + 60^2 +30*60)*100
=65940 cm3
=659.4L

Like? Yes (1) | No   

GIRISH TYAGI   9 years AGO

1/3 pi*h (R^2 +r^2)=V and 1cubic meter = 1000 liter

Like? Yes (1) | No   

kranthi kanchanapally   9 years AGO

the top radius a=60 and b=30 and h=1m
then volume=1/3pi*h*(b^2+a*b+a^2)
=1/3*22/7*100(900+1800+3600)
660000cm^3
converting to liter we get 660 liter
so option 1 is correct

Like? Yes (1) | No   

Meenakshi   9 years AGO

given
top radii,R=60cm
bottom radii,r=30cm
height,h=1m(100cm)

volume of conical bucket=1/3[pi*h(R^2+R*r+r^2)]
=>1/3[22/7*100(60^2+60*30+30^2)]
=>660000cm^3
=>660 litre

Like? Yes (1) | No   

sonal   9 years AGO

volume of conical bucket=3.14*100*(60*60+60*30+30*30)/3
=659734.4 cm3
=659.7 l
=660 l
so correct option is 1

Like? Yes (1) | No   

sai   9 years AGO

volume of conical bucket is = (ri^2+r2^2+r1*r2)*22*h/(7*3)
calculate we get 900+3600+1800*22*100/(3*7) =660 lit

Like? Yes (1) | No   

Pranati Kundu   9 years AGO

v=?h(r*r+R*R+R*r)
v=.66m3
=660lt

Like? Yes (1) | No   

Pragati Rode   9 years AGO

R1=0.6m R2=0.3m
by using the formula,
Volume of Frustum cone = 1/3 * πh((R1 )2 +(R2 )2 +R1 *R2 )
we get volume= 0.66m
convert it into liter using conversion 1m=1000 liter
0.66m = 660 liter
option is 1)

Like? Yes (1) | No   

moumita   9 years AGO

Volume of conical frustum = 1/3*3.14*h*(R^2+r^2+R*r)
Here, R=0.6m, r=0.3m, h=m
V = 1/3*3.14*1*((0.6)^2+(0.3)^2+(0.6*0.3)) = 0.659 =0.66 m^3
= 660litre

Like? Yes (1) | No   

shreya saklecha   9 years AGO

volume of frustum=3.14h/3(R^2+Rr+r^2)
=3.14*100/3[(60^2+60*30+30^2]
=660000cm^3(aprox)
=660 lit [1000cm^3=1lit]

Like? Yes (1) | No   

Yathiraj   9 years AGO

Volume of cone
V=(pi*h)/3(R^2 + R*r + r^2)

R=60cm
r=30cm
h=100cm

With the above values, V=660000 cm^3

1 cubic centimeter = 0.001 Liter and hence
660000 cm^3 = 660 Liter

Like? Yes (1) | No   

aman aditya   9 years AGO

volume of frustum= 653400 cm cube
so
659400/1000 =660 li

Like? Yes (1) | No   

ANUJ KUMAR   9 years AGO

Using the formula of frustum
Volume=(1/3)×pi×h×[R^2+r^2+R×r]
solving we get 6594m^3
which equals to 659 litre
or 660 litre

Like? Yes (1) | No   

chinni   9 years AGO

(pi*h*(R^2+r^2+R*r))÷3
1 litre=(cm^3)÷1000

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virendra tiwari   9 years AGO

formula=3.14*(1003)*(60^2+30^2+30*60)=660

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Jitendra Kumar   9 years AGO

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

Like? Yes (1) | No   

ADERU CHENCHU NITHISH   9 years AGO

use formula v=(22*h/3)*(r1^2+r2^2+r1*r2)

Like? Yes (1) | No   

anand kumar   9 years AGO

volume =3.14(r^2+R^2+rR)/3

Like? Yes (1) | No   

alok kumar   9 years AGO

V=pi*h*(R^2+r^2+Rr)/3
=660l

Like? Yes (1) | No