求積法...急問`!!

1
體積
=4/3 x (3.141592654) x (r)3次方
=4/3 x (3.141592654) x (6)3次方
=904.778684 cm^3
表面面積
=(3.141592654) x 4 x (r)2次方
=(3.141592654) x 4 x (6)2次方
=452.389342 cm^2
2
體積
1/2 x 4/3 x (3.141592654) x (r)3次方
=1/2 x 4/3 x (3.141592654) x (10)3次方
=2 094.3951 cm^3
表面面積
=1/2 x (3.141592654) x 4 x (r)2次方+(3.141592654) x (r)2次方
=1/2 x (3.141592654) x 4 x (10)2次方+(3.141592654) x (10)2次方
=942.477796 cm^2
3
體積
1/2 x 4/3 x (3.141592654) x (r)3次方
=1/2 x 4/3 x (3.141592654) x (15)3次方
=7 068.58347 cm^3
表面面積
=1/2 x (3.141592654) x 4 x (r)2次方+(3.141592654) x (r)2次方
=1/2 x (3.141592654) x 4 x (15)2次方+(3.141592654) x (15)2次方
=2 120.57504 cm^2
4
橫切面面積為 201.0619298
(3.141592654) x (r)2=201.0619298
(r)2=64
r=8 cm
體積
4/3 x (3.141592654) x (r)3次方
=4/3 x (3.141592654) x (8)3次方
=2 144.66059 cm^3
表面面積
=(3.141592654) x 4 x (r)2次方
= (3.141592654) x 4 x (8)2次方
=804.247719 cm^2
5
半圓球體圓周為 452.3893421
2(3.141592654) x (r)=452.3893421
r=72 cm
體積
1/2 x 4/3 x (3.141592654) x (r)3次方
=1/2 x 4/3 x (3.141592654) x (72)3次方
=781 728.783 cm^3
表面面積
=1/2 x (3.141592654) x 4 x (r)2次方+(3.141592654) x (r)2次方
=1/2 x (3.141592654) x 4 x (72)2次方+(3.141592654) x (72)2次方
=48 858.049 cm^2

1.體積:

=4/3 x (3.141592654) x (r)3次方

=4/3 x (3.141592654) x (6)3次方

=904.778684 cm^3

表面面積:

=(3.141592654) x 4 x (r)2次方

=(3.141592654) x 4 x (6)2次方

=452.389342 cm^2

2.體積:

1/2 x 4/3 x (3.141592654) x (r)3次方

=1/2 x 4/3 x (3.141592654) x (10)3次方

=2 094.3951 cm^3

表面面積:

=1/2 x (3.141592654) x 4 x (r)2次方+(3.141592654) x (r)2次方

=1/2 x (3.141592654) x 4 x (10)2次方+(3.141592654) x (10)2次方

=942.477796 cm^2

3.體積:

1/2 x 4/3 x (3.141592654) x (r)3次方

=1/2 x 4/3 x (3.141592654) x (15)3次方

=7 068.58347 cm^3

表面面積:

=1/2 x (3.141592654) x 4 x (r)2次方+(3.141592654) x (r)2次方

=1/2 x (3.141592654) x 4 x (15)2次方+(3.141592654) x (15)2次方

=2 120.57504 cm^2

4.橫切面面積為 201.0619298

(3.141592654) x (r)2=201.0619298

(r)2=64

r=8 cm

體積:

4/3 x (3.141592654) x (r)3次方

=4/3 x (3.141592654) x (8)3次方

=2 144.66059 cm^3

表面面積:

=(3.141592654) x 4 x (r)2次方

= (3.141592654) x 4 x (8)2次方

=804.247719 cm^2


5.半圓球體圓周為 452.3893421

2(3.141592654) x (r)=452.3893421

r=72 cm

體積:

1/2 x 4/3 x (3.141592654) x (r)3次方

=1/2 x 4/3 x (3.141592654) x (72)3次方

=781 728.783 cm^3

表面面積:

=1/2 x (3.141592654) x 4 x (r)2次方+(3.141592654) x (r)2次方

=1/2 x (3.141592654) x 4 x (72)2次方+(3.141592654) x (72)2次方

=48 858.049 cm^2

球體體積公式：
4
------ (3.141592654)(半徑r)(半徑r)(半徑r)
3

球體表面面積公式：
4 x (3.141592654)(半徑)(半徑)

(1. )
4
----- x (3.141592654) x (6 x 6 x 6)
3
=288 x (3.141592654)
=904.78(cm立方)

4 x (3.141592654) x (6 x 6)
=144 x (3.141592654)
=452.39(cm平方)
====================================================
(2. )
4
----- x (3.141592654) x (10 x 10 x 10)
3
=1333.33 x (3.141592654)
+4188.79(cm立方)

4 x (3.141592654) x (10 x 10)
=400 x (3.141592654)
=1256.64(cm平方)
=====================================================
(3. )
4
----- x (3.141592654) x (15 x 15 x 15)
3
=4500 x (3.141592654)
=14137.17(cm立方)

4 x (3.141592654) x (15 x 15)
=900 x (3.141592654)
=2827.43(cm平方)

========================================================
4.先用求圓形面積公式，求出半徑，再用公式計體積同表面面積。
圓形面積公式：
(r x r )x(3.141592654)=201.0619298
r = (63.997962863)開平方根
r = 7.99(cm)

4/3 x (3.141592654) x (7.99 x 7.99 x 7.99)
=2136.63(cm立方)

4 x (3.141592654) x (7.99 x 7.99)
=802.24(cm平方)
============================================
5.先用求圓周公式，求出半徑，再用公式計髒積同表面面積。
2 x (3.141592654) x r =452.3893421
r = 71.99(cm)

4/3 x (3.141592654) x (71.99 x 71.99 x 71.99)
=1562806.22(cm立方)

4 x (3.141592654) x (71.99 x 71.99)
=65125.97(cm平方)


↓其他求積法公式↓
http://www.yck2.edu.hk/onlinestudy/form3/clchoi02.pdf

1) v: 4/3 * Pi * 6^3 = 904 cm^3
Surface area: 452 cm^2

2) v = 10^3 * Pi * 4/3 / 2 = 2094 cm^3
Surface area : 628+ Pi r^2 = 314+628= 942cm^2

3) v = 7069cm^3
s a = 2121 cm^2

4) (201/pi)^(1/2) = 8 = radius
volume = 2145 cm^3
s a = 804 cm^2

5) 452/2/pi = 72cm = r
v = 781729 cm^3
s a = 48858 cm^2