How to solve 3,4 and 6

Question

asked Dec 22, 2020 33.2k views

1 Answer

Lookbadgers · Answer 1 · 2020-12-28T00:46:41+0000

Answer:

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

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:

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