Apet toy manufacturer is designing a plastic ball for dogs that will float in water. in order for the ball to float it must have a density that is less than 1 gram per milliliter (the density of water). the approved design has a mass of 115 grams and a density of 0.600 g/ml. use the density formula d = m v to determine the radius of the ball to the nearest hundredth of a centimeter. volume of a sphere = 4 3 π r 3

3.576 cm

Step-by-step explanation:

radius of ball, r=?

Given:

Density, p = 0.600g/mL

mass, m= 115g

finding volume, v of ball by using formula p=m/v

v= m/p

= 115/0.600

=191.666 mL^3

=191.666 cm^3

Now using formula v= (4/3)πr^3 to find radius, r of the ball

r^3= 3v/4π

   = 3(191.666)/4π

   =45.75 cm

r   =3.5767 cm !

f is the midpoint of

the terms of a geometric sequence can be found by beginning with the first term and multiplying by the common ratio repeatedly. a recursive formula for a geometric sequence with common ratio r is given by an=ran−1 a n = r a n − 1 for n≥2 n ≥ 2 .

step-by-step explanation: