The document discusses finding the volume of a sphere through an experiment using containers of different shapes. It involves filling a hemispherical container with flour and pouring it into a cylindrical container to determine the volume ratio. It then provides the formula to calculate the volume of a sphere as 4/3 * π * r^3. Several example problems are worked out using this formula to find the volume or radius of various spheres.
2. Name of Group : Georg Carton
1. Risa Rahmatia Firsta
2. Abdul Khoir
3. M.Naufal Rifqi
4. K.Muhammad Rafli Pasha
3. Finding the formula for the
volume of sphere
1. Prepare four containers.
One is hemisphrerical and
the other is cylinder with
their radii r and cylinder
height is 2r.
2. Fill up the hemisphrerical
with some flour until it is
full, and then pour out the
flour into the cylinder
container. How many
times do you have to fill
up the hemisphrerical
until the cylinder container
gets full?
3. Based on the activity, can
you determine the volume
of sphere?
4.
5. 1. V = 4/3 ∙ 3,14 ∙ 103
= 4.186,67
2.Volume gambar 2
6. 3. Wakingup space
on the image (III)
is a ball that is
cut in half 40/360
parts. So that its
volume can be
determined as
follows.
7. Question
4. A hot air balloon if filled with
helium. Find the volume of
gas needed to fill a balloon
with a diameter of 30 m.
ANSWER
8. Solution :
D = 30 m, r = 15 m
V = 4/3* π*r³
= 4/3 * 3,14 * 15³
= 4/3 * 3,14 * 3375
= 4/3 * 10597,5
= 14130 m³
9. 6. The Volume of a sphere is
1,437⅓ cm³ . Find the radius of
the sphere with π ≈ 22/7.
ANSWER
10. V = 4/3 * π * r³
1,437⅓ = 4/3 * 22/7 * r³
r³ = 1,437⅓ : 88/21
r³ = 4.312/3 * 21/88
r³ = 4,312 * 7/88
r³ = 49 * 7
r³ = 343
r = 7
Thus, the radius of sphere is 7 cm