Respuesta :
[tex]\bf \textit{volume of a sphere}\\\\ V=\cfrac{4\pi r^3}{3}\qquad \qquad \stackrel{r=15}{V~~~~=~~~~}\cfrac{4\pi (15)^3}{3}\implies V=4500\pi[/tex]
Answer:
For 1515 cm radius, volume = 2318177250π cm³
For 15cm radius , the volume = 2250π cm³
Step-by-step explanation:
A bowl that is shaped like half of a sphere is an hemisphere. An hemisphere is half of a sphere. This means that the volume of the bowl which is an hemisphere is half of the volume of a sphere.
Volume of a sphere = 4/3 × π × r³
where r = radius and π = 22/7
volume of the bowl(hemisphere) = 1/2 × 4/3 × π × r³
volume of the fruit bowl = 2/3 × π × r³
r = 1515 cm
volume of the fruit bowl = 2/3 × π × (1515)³
volume of the fruit bowl = 2/3 × π × 3477265875
volume of the fruit bowl = 6954531750π/3 = 2318177250π cm³
OR
volume of the fruit bowl = 2318177250 × 22/7 = 7285699928.57 cm³
But the radius 1515 cm is unreasonable for a fruit bowl . I believe you want to write 15 cm and made duplicate of it. The volume can be computed as follow if you use 15 cm.
volume of the fruit bowl = 2/3 × π × r³
volume of the fruit bowl = 2/3 × π × (15)³
volume of the fruit bowl = 2/3 × π × 3375
volume of the fruit bowl = 6750π/3
volume of the fruit bowl = 2250π cm³ or 7071.42857143 cm³
