Question

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 ft^3
D. 5,341 ft^3

Answer 1

The volume of teepee is 1,780 ft³

A is correct.

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
`=(1)/(3)* \pi * r^2* h`

where,

r is radius of cone (r=10 ft)

h is height of cone (h=17 ft)

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

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

Hence, The volume of teepee is 1,780 ft³

Answer 2

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