With a ruler, Diamond determines the diameter of a golf ball to be 4.2 centimeters (a radius of 2.1 cm) and the diameter of a practice softball to be 8.4 centimeters (a radius of 4.2 cm). Diamond erroneously claims that the softball has twice the volume of the golf ball. In a short paragraph, explain Diamonds misconceptions. Use the formula for the volume of a sphere to determine the volume of both the golf ball and the softball in cubic centimeters and then compare their volumes. (Hint: Golf Ball Volume V = 4/3 π r3 ; V = 4/3 ∙ (3.14) ∙ (2.1)3 ) (Hint: Softball Volume V = 4/3 π r3 ; V = 4/3 ∙ (3.14) ∙ (4.2)3 )

Diamonds is incorrect, because, the volume of the softball is 8 times the volume of the golf ball

Step-by-step explanation:

we know that

The volume of a sphere is equal to

where

r is the radius

step 1

Find the volume of the golf ball

we have

substitute

step 2

Find the volume of the the softball

we have

substitute

step 3

Find the ratio of volumes

Divide the volume of the softball by the volume of the golf ball

That means

Diamonds is incorrect, because, the volume of the softball is 8 times the volume of the golf ball

since the airplane is moving with constant speed then the distance travelled can be calculated by x=u*t

in km/h would be:

x=640*3.5=2.240 km

in m/s would be:

u=640 km/h= 640.000 m/h =640.000/ 3600 m/s =177.8 m/s

t= 3.5 h= 3.5 * 3600 s=12.600 s

then x=u*t= 177.8*12.600= 2.240.280 m

they are simplified

step-by-step explanation: