Question

19. In a conical tent of radius 7 m and height 4.5 m, how many full bags of rice each of volume 1.5 m³ can be emptied?​

Answer 1

✬ Bags = 154 ✬

Step-by-step explanation:

Given:

• Radius of conical tent is 7 m.
• Height of tent is 4.5 m.
• Volume of bag of rice is 1.5 m³.

To Find:

• How many bags can be emptied ?

Solution: First find the volume of tent. Since the tent is in conical form therefore,

★ Volume of cone = 1/3(πr²h) ★

• π = 22/7 , r = 7 m , h = 4.5 m

$\implies{\rm }$ Vol = 1/3(22/7)(7²)(4.5)

$\implies{\rm }$ 22/21(49)(4.5)

$\implies{\rm }$ 4851/21

$\implies{\rm }$ 231 m³

So, Volume of tent is 231 m².

Now, It is given that volume of each bag of rice is of 1.5 m³.

∴ No. of bags emptied = Vo. of tent/Vol. of bag

➭ 231/1.5

➭ 154 bags

Hence, 154 bags can be emptied from the tent.

Answer 2

Answer:

154

explanation:

h=4.5m

r=7m

volume of each bag=1.5m³

volume of cone(tent)=1/3pir²h

= 1/3×22/7×(7)²×4.5=231

no of bags that can be stored= vol of tent/volume of bag

= 231/1.5=154