A bowl has the shape of a hemisphere whose diameter is 14 centimeters. By itself, the bowl weights 350 grams. If it is completely filled with liquid that weights 1.25 grams per cubic centimeter, then what is the total weight of the bowl and liquid?
1) 898
2) 1248
3) 1796
4) 2146

Question

contestada

Respuesta :

chisnau chisnau · Answer 1 · 2019-06-17T14:37:42+02:00

Answer:

The answer is - 2) 1248

Step-by-step explanation:

A bowl has the shape of a hemisphere whose diameter is 14 centimeters.

So, radius is 7 cm.

The volume of the hemisphere is given by = [tex]\frac{2}{3} \pi r^{3}[/tex]

=> [tex]\frac{2}{3} *3.14*7*7*7[/tex] = 718 cubic cm

Now, the weight of the water that can be contained in the bowl =

[tex]718\times1.25=897.50[/tex]

And the total weight of water plus bowl = [tex]350+897.50=1247.50[/tex] or rounding this to 1248 grams.

ashishdwivedilVT ashishdwivedilVT · Answer 2 · 2022-03-22T10:41:18+01:00

The total weight of the bowl and liquid is 1248 grams.

It is given that

Diameter of the bowl = 14 cm

Weight of the bowl = 350grams

The density of the fluid = 1.25 grams per cubic centimeter

The volume of a hemisphere with radius r is 2/3 πr³.

Total weight= weight of the bowl + weight of the liquid.

Weight of the liquid = density of liquid * volume of liquid.

The volume of liquid = volume of the hemisphere with radius 7cm.

The volume of liquid = [tex]\frac{2}{3} *\pi *r^3[/tex]

The volume of liquid = 2/3 * π* 7³=718.67 cubic centimeter.

Weight of the liquid = density*volume = 718.67*1.25 = 898 grams

So, the total weight will be 350+898 = 1248 grams.

Therefore, the total weight of the bowl and liquid is 1248 grams.

To get more about hemisphere visit:

https://brainly.com/question/619460