MATH SOLVE

2 months ago

Q:
# 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 cylinder3. Which of the following is the best approximation of the volume of a sphere with a 7 cm. radius.A.1744 cm^3B.1436 cm^3C.615 cm^3D.462 cm^34. 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.

Accepted Solution

A:

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

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