Question

Oblicz pole powierzchni kuli, której pole powierzchni wynosi:

1. 64pi cm2

2. 36/25pi cm2

3. pi cm2

Answer 1

P=4piR^2

1.

P=64pi cm^2

4piR^2=64pi

R^2=64pi/4pi

R^2=16

R=4cm

V=4/3piR^3

V=4/3*4^3pi=4/3 *64pi

V=256/3 pi cm^3

2.

P=36/25 pi cm^2

R^2=36/25pi:4pi

R^2=36/100

R=6/10cm

R=3/5cm

V=4/3 *(3/5)^3pi=4/3* 27/125 pi=108/375 pi

V=36/125pi cm^3

3.

P=pi cm^2

R^2=pi/4pi

R^2=1/4

R=1/2

V=4/3*(1/2)^3pi=4/3 *1/8pi=1/6pi cm^3