Question

The cross-sectional area parallel to the bases of the two figures above is the same at every level. Find the volume of the cone, to the nearest tenth.

A.
26.5 cm3
B.
44.2 cm3
C.
79.5 cm3
D.
132.5 cm3

Answer 1

i got B but i’m not 100% sure

Answer 2

B. 44.2 cm3

Explanation:

we know that

If the cross-sectional area parallel to the bases of the two figures above is the same at every level

then

the area of the base of the triangular pyramid is the same that the area of the base of the cone

step 1

Find the area of the base of the pyramid

`A=(1/2)[6*4.8]=14.4\ cm^(2)`

step 2

Find the volume of the cone

The volume of the cone is equal to

`V=(1)/(3)Bh`

we have

`B=14.4\ cm^(2)`

`h=9.2\ cm`

substitute

`V=(1)/(3)(14.4)(9.2)`

`V=44.2\ cm^(3)`