Respuesta :
Answer:
B.) Kelly got the better deal.
Step-by-step explanation:
For the same amount of money, the volume of kelly's mulch is more than the volume of Matt's mulch which means Kelly got a better deal. Then the correct option is B.
What is Geometry?
It deals with the size of geometry, region, and density of the different forms both 2D and 3D.
Matt and Kelly both purchased the same type of mulch to be used in a garden.
They both spent exactly $60 each on mulch.
• Matt purchased loose mulch in which a truck dumped it in his driveway as shown in the picture in the shape of a cone of a radius of 3.5 ft and a height of 3 ft.
[tex]\rm Volume \ of \ Matt's \ mulch = \dfrac{1}{3} * \pi \ r^2 h\\\\Volume \ of \ Matt's \ mulch = \dfrac{1}{3}* \pi * 3.5^2 * 3\\\\Volume \ of \ Matt's \ mulch = 38.485 \ ft^3[/tex]
• Kelly purchased 16 bags of mulch and each bag contains 3 cubic feet of mulch.
[tex]\rm Volume \ of \ Kelly's \ mulch = (number \ of \ bag \ )*(each\ bag\ contains\ 3\ ft^3)\\\\Volume \ of \ Kelly's \ mulch = 16* 3 \\\\Volume \ of \ Kelly's \ mulch =48\ ft^3[/tex]
Thus, for the same amount of money, the volume of kelly's mulch is more than the volume of Matt's mulch which means Kelly got a better deal. Then the correct option is B.
More about the geometry link is given below.
https://brainly.com/question/7558603