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The diagram shows the dimensions of a teepee. Find the volume of the building to the nearest cubic unit. Use 3.14 for p.

A1,780 ft^3
B1,382 ft^3
C21,363 ft^3
D5,341 ft^3

The diagram shows the dimensions of a teepee. Find the volume of the building to the nearest cubic unit. Use 3.14 for p. A. 1,780 ft 3 B. 1,382 ft 3 C. 21,363 f class=

Verified Answer :

Nirina7

the volume can be found with 
V= 1/3) Bh= 1/3 pi r² h 
r= 20/2 = 10
h = 17

V=  1/3 pi r² h = 1/3) 3.14 10² *17= 1779 ft^3, so the answer is A. 1,780 ft^3

isyllus

Answer:

The volume of teepee is 1,780 ft³

A is correct.

Step-by-step explanation:

Given: The diagram shows the dimensions of a teepee.

Diameter is 20 ft. Radius is half of diameter.

Teepee is shape of cone as per diagram.

Volume of cone \(=\dfrac{1}{3}\times \pi \times r^2\times h\)

where,

r is radius of cone (r=10 ft)

h is height of cone (h=17 ft)

\(\text{Volume of teepee}=\dfrac{1}{3}\pi \cdot (10)^2\cdot 17\)

\(\text{Volume of teepee}=\dfrac{1700\pi}{3}\approx 1780\text{ ft}^3\)

Hence, The volume of teepee is 1,780 ft³

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