Question

1. a pyramid has a base area of 10in^2 and a height of 3.09 in.

what is the volume of the pyramid?

2. A cylinder has a diameter of 14ft. and a height of 10 ft. what is the volume of the cylinder

3. Which of the following is the best approximation of the volume of a sphere with a 7 cm. radius.
A.1744 cm^3
B.1436 cm^3
C.615 cm^3
D.462 cm^3

4. the volume of a sphere is 4/3 pie cm^3. What is the diameter of the sphere?

5. The volumes of two similar solids are 20 cm^3 and 540^3. Which is the ratio of the corresponding sides of the larger figure to the smaller figure.

Answer 1

1.
V=1/3*b*h=1/3*10*3.09=1.03*10=10.3 in³

2.
V=b*h
b=πr²
r=d/2=14/2=7ft
V=πr²*h
V=π*7²*10=490π ft³
If it should be approximate V≈1539.38 ft³

3.
V=(4/3)πr³=(4/3)*π*7³≈1436 cm³

4.
V=(4/3)πr³
r³=3V/4π

r=∛(3V/4π)


5.
s1/s2 = ∛(V1/V2)
s1/s2 = ∛(540/20)= ∛27=3/1
s1/s2 =3/1