What is the volume of a 6m deep tank having rectangular shaped top 6m- 4m and bottom 4m- 2m compound the use ofprismoidal formula-

Prismoidal formula is also known as simpson's rule for volumes. Given, 2L=6m:L=3m A_1=6× 4=24m^2 A_2=4× 2=8m^2 A_m= ( 6+42 )× ( 4+22 )=15m^2 V=L3 ( A+4A_m+A_2 ...

You visited us 1 times! Enjoying our articles? Unlock Full Access!

Byju's Answer

Standard V

Mathematics

Comparison of Volumes of Solids

What is the v...

Question

What is the volume of a $6 m$ deep tank having rectangular shaped top $6 m \times 4 m$ and bottom $4 m \times 2 m$ (compound the use ofprismoidal formula)?

96 m^{3}

No worries! We‘ve got your back. Try BYJU‘S free classes today!

94 m^{3}

No worries! We‘ve got your back. Try BYJU‘S free classes today!

92 m^{3}

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

90 m^{3}

No worries! We‘ve got your back. Try BYJU‘S free classes today!

Open in App

Solution

The correct option is C $92 m^{3}$
Prismoidal formula is also known as simpson's rule for volumes.
Given,
$2 L = 6 m : L = 3 m$
$A_{1} = 6 \times 4 = 24 m^{2}$
$A_{2} = 4 \times 2 = 8 m^{2}$
$A_{m} = (\frac{6 + 4}{2}) \times (\frac{4 + 2}{2}) = 15 m^{2}$
$V = \frac{L}{3} (A + 4 A_{m} + A_{2})$
$= 24 + (4 \times 15) + 8 = 92 m^{3}$

Suggest Corrections

Similar questions

Q. A rectangular tank of

6 m

long,

2 m

broad and

2 m

deep is full of water, what is the thrust acting on the bottom of the tank?

Q. A rectangular tank of

6 m

long,

2 m

broad, and

2 m

deep is full of water. find the thrust acting on the bottom of the tank. (Density of water,

ρ_{w} = 1000 k g / m^{3}

)

Q. A reservoir is in the shape of a frustum of a right circular cone It is

8 m

across at the top and

4 m

across at the bottom. If it is

6 m

deep its capacity is

Q. Solve the equation using formula.

6 m^{2} - 4 m = 3

Q. Two particles of equal mass have coordinates

(2 m, 4 m, 6 m)

and

(6 m, 2 m, 8 m)

. Of these one particle has a velocity

_{1} = (2^i) m/s

and another particle has velocity

_{2} = (2^j) m/s

at time

t = 0

. The coordinate of their centre of mass at time

t = 1 s

will be

Join BYJU'S Learning Program

What is the volume of a 6m deep tank having rectangular shaped top 6m×4m and bottom 4m×2m (compound the use ofprismoidal formula)?

The correct option is C 92m3Prismoidal formula is also known as simpson's rule for volumes. Given, 2L=6m:L=3m A1=6×4=24m2 A2=4×2=8m2 Am=(6+42)×(4+22)=15m2 V=L3(A+4Am+A2) =24+(4×15)+8=92m3

What is the volume of a $6 m$ deep tank having rectangular shaped top $6 m \times 4 m$ and bottom $4 m \times 2 m$ (compound the use ofprismoidal formula)?