tuesday october 9 th daily check: part*part=part*part outside*whole=outside*whole
TRANSCRIPT
Tuesday October 9th
Daily Check: part*part=part*part
outside*whole=outside*whole
Daily Check1. 2.
3. 4.
Surface Area of a Sphere
24SA r
Volume of a Sphere
34
3V r
A sphere is inscribed in a cube of volume 125 cubic meters. What is the surface area and volume of the sphere? Give an exact answer and an answer rounded to the nearest hundredth.
Volume =
Find the radius. Round to the nearest hundredths.
332
3
in
Volume of a Sphere
Circumference of Great Circle = 14 cm
Find the volume of the sphere. Round to the nearest hundredths.
7r
34 73
V
14 2 r
346.34V cm
Volume of a Sphere
Volume =
Find radius. Round to the nearest hundredths.
336 in
3r in
3436
3r
327 r
Comparing Ratios
Sphere A Sphere B
Radius of Sphere A
Radius of Sphere B
3 cm 6 cm
How much bigger?2 times bigger
Sphere A Sphere B
SA of Sphere A SA of Sphere B
3 cm 6 cm
How much bigger?4 times bigger
36 cm2 144 cm2
Sphere A Sphere B
V of Sphere A V of Sphere B
3 cm 6 cm
How much bigger?8 times bigger
36 cm3 288 cm3
Sphere A Sphere B
Radius of Sphere A
Radius of Sphere B
3 cm 15 cm
How much bigger?5 times bigger
Sphere A Sphere B
SA of Sphere A SA of Sphere B
3 cm 15 cm
How much bigger?25 times bigger
36 cm2 900 cm2
Sphere A Sphere B
V of Sphere A V of Sphere B
3 cm 15 cm
How much bigger?125 times bigger
36 cm3 4500 cm3
There is a pattern that can save you some work!
SET UP A TABLE LIKE THIS
Times bigger Sphere A Sphere B
RADIUS rSA r2
V r3
If the radius of a sphere is doubled, what happens to its
volume?
V is 8 times bigger
Times bigger Sphere B Sphere A
RADIUS rSA r2
V r3
r = 2
r3 = 8
If the radius of a sphere is quadrupled, what happens to
its surface area?
SA is 16 times bigger
Times bigger Sphere A Sphere BRADIUS r
SA r2
V r3
r = 4
r2 = 16
The radius of sphere A is 1 cm and the radius of sphere B is 2 cm. The SA of sphere A is
4 in2, what is the SA of sphere B?
16 in2
Times Bigger Sphere A Sphere BRADIUS r
SA r2
V r3
2 cm
r2 = 4
1 cm4
r = 2
The radius of sphere B is 3 times bigger than the radius
of sphere A and the V of sphere A is 10 in3, what is
the V of sphere B?
270 in3
Times Bigger Sphere A Sphere BRADIUS r
SA r2
V r3r3 = 27
10
r = 3
The SA of sphere B is 4 times bigger than the SA of sphere A. If the radius of sphere B is
20 m, what is the radius of sphere A?
10 m
Times bigger Sphere A Sphere BRADIUS r
SA r2
V r3
r2 = 4
20r = 2
The V of sphere B is 125 times bigger than the V of sphere A. If the radius of
sphere B is 45 ft, what is the radius of sphere A?
9 ft
Times bigger Sphere A Sphere BRADIUS r
SA r2
V r3r3 = 125
45r = 5