Question

How to solve 3,4 and 6

Answer 1

Answer:

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

Step-by-step explanation:

3.

The formula of a volume of a sphere:

$V=\dfrac{4}{3}\pi R^3$

R - radius

We have R = 3.15 m. Substitute:

$V=\dfrac{4}{3}\pi(3.15)^3\approx\dfrac{4}{3}\pi(31.26)\approx\dfrac{4}{3}(3.14)(31.26)\approx130.88\ m^3$

4.

The formula of a volume of a cone:

$V=\dfrac{1}{3}\pi r^2H$

r - radius

H - height

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

$V=\dfrac{1}{3}\pi(5.8)^2(x)=\dfrac{1}{3}\pi(33.64)x\approx\dfrac{1}{3}(3.14)(33.64)x\approx35.21$

6.

The formula of a volume of a cube:

$V=s^3$

s - edge

We have s = 1.02 in. Substitute:

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