how many milliliters of soup will this hemispherical bowl hold?(1cm cubed holds 1mL) Radius= 7 cm
718 ml
1/2 (4/3) (3.14) (7) (7) (7) which equals 718 mL cause it is a hemi sphere HALF of a sphere.
Oh, soup calculations, how souper exciting! To find out how many milliliters this hemispherical bowl will hold, we can use a little math magic. Now, the formula to calculate the volume of a hemisphere is (2/3)πr³. Since we only want the bowl part, we'll halve that result. Let's calculate it together, shall we?
First, we need to find the radius, which you've already kindly provided as 7 cm. Plugging that into the formula gives us (2/3)π(7)³.
Now, when we calculate this, we get a marvelously gratifying answer of approximately 718.81 cubic centimeters. Since 1 cm³ holds 1 mL, we can conclude that this hemispherical bowl will hold approximately 718.81 milliliters of soup.
Happy soup sipping in your souper-sized bowl!
To find out how many milliliters of soup the hemispherical bowl will hold, we need to calculate the volume of the bowl using its radius.
The formula to calculate the volume of a hemisphere is:
V = (2/3) * π * r^3
Given that the radius (r) of the bowl is 7 cm, we can substitute this value in the formula:
V = (2/3) * π * 7^3
V = (2/3) * π * 343
V ≈ 2.094 * 343
V ≈ 718.264 cubic centimeters (cc)
Since 1 cm^3 is equivalent to 1 mL, we can conclude that the hemispherical bowl will hold approximately 718.264 mL of soup.
Volume of a sphere: 4/3 * pi * r^3
V = 4/3 * 3.14 * 7^3
V = 4/3 * 3.14 * 343
V = 4/3 * 1077.02
V = 1,436.0266 cubic cn