Question

How to solve 3,4 and 6

Answer 1

`\large\boxed{3.\ V\approx130.88\ m^3}\\\boxed{4.\ V\approx35.21}\\\boxed{6.\ V\approx1.06\ in^3}`

Explanation:

3.

The formula of a volume of a sphere:

`V=(4)/(3)\pi R^3`

R - radius

We have R = 3.15 m. Substitute:

`V=(4)/(3)\pi(3.15)^3\approx(4)/(3)\pi(31.26)\approx(4)/(3)(3.14)(31.26)\approx130.88\ m^3`

4.

The formula of a volume of a cone:

`V=(1)/(3)\pi r^2H`

r - radius

H - height

We have 2r = 11.6 → r = 5.8 and H = x. Substitute:

`V=(1)/(3)\pi(5.8)^2(x)=(1)/(3)\pi(33.64)x\approx(1)/(3)(3.14)(33.64)x\approx35.21`

6.

The formula of a volume of a cube:

`V=s^3`

s - edge

We have s = 1.02 in. Substitute:

`V=(1.02)^3\approx1.06\ in^3`