Mathematics
02.07.2021 15:40
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Alarge dump truck will empty its full load of stone onto a small plot of land for

Alarge dump truck will empty its full load of stone onto a small plot of land for storage. the rock forms a cone that is 9 feet tall. the truck holds 144 cubic feet of stone. what is the area of the circular base of the pile of stones?
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AnaiyaKirksey8
AnaiyaKirksey8
5,0(83 marks)
Volume of a cone = (1/3) * Area of Base * height
144 * 3 / 9 = Area of Base
Area of the Base = 48
keithaaron3803
keithaaron3803
4,7(33 marks)

48 square feet.

Step-by-step explanation:

A large dump truck will empty its full load of stone .

Those rock forms a cone.

Height of cone = 9 feet

The truck holds 144 cubic feet of stone.

So, amount of stone truck holds = Volume of cone

Formula of volume of cone = \frac{1}{3} \pi r^{2} h

Where \pi r^{2} = \text{Area of base }

ย  ย  ย  ย  ย  ย h= height

So, volume of cone formed ย = \frac{1}{3}\times\text{Area of base}\times 9

Since we know that amount of stone truck holds = Volume of cone formed

144=\frac{1}{3}\times\text{Area of circular base}\times 9

144\times 3=\text{Area of base}\times 9

432=\text{Area of circular base}\times 9

\frac{432}{9}=\text{Area of circular base}

48=\text{Area of circular base}

Thus the area of the circular base is 48 square feet.

ABRANLINLCON
ABRANLINLCON
4,6(85 marks)

IDK

Step-by-step explanation: I don't know either!

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