Question

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

Answer 1

To find the diam. of the hemisphere, find the vol. of a sphere of radius 7 cm and then divide that by 2:

V/2 = (1/2)(4/3)(pi)(7 cm)^3 = vol of hemisphere.

To find the weight of the liquid that fills the hemisphere, mult. this volume by the conversion factor 1.25 grams / cubic centimeter.

To this result, add the weight of the bowl (350 grams).  Then you'll have your answer.

Answer 2

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 = $\frac{2}{3} \pi r^{3}$

=> $\frac{2}{3} *3.14*7*7*7$ = 718 cubic cm

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

$718\times1.25=897.50$

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