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

Answer 1

Para resolver este problema, debe aplicar el procedimiento que se muestra a continuación:

 1of the first figure in the image attached, is:

 a ^ 2 = b ^ 2 + c ^ 2
 c =
 c=√(6 cm)^2-(4.8 cm)^2
 c=3.6 cm

 2. The area of the base of the first figure is:

 A=BxH/2
 A=3.6x4.8/2
 A=8.64 cm^2

 3. Therefore, the volume of the cone is:

 V=(8.64 cm^2)(9.2 cm)
 V=79.5 cm^3

 Therefore, the answer is: C. 79.5 cm^3