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Minchanka [31]
4 years ago
7

Mr. Morgan has five daughters. They were all born the number of years apart as the youngest daughter is old. The oldest daughter

is 8 years older than the youngest. What are the ages of Mr. Morgan's daughters?
The oldest daughter is

The second daughter is

The third daughter is

The fourth daughter is

The youngest daughter is
Mathematics
2 answers:
Jlenok [28]4 years ago
7 0
10
8
6
4
2 are the daughters ages oldest to youngest
<span />
yuradex [85]4 years ago
4 0
Oldest daughter: 10
Second daughter: 8
Third daughter : 6
Fourth daughter: 4
Youngest daughter: 2
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3 years ago
Need to find volume, step by step explanation pls <br><br><br><br>​
worty [1.4K]

Given:

A figure of combination of hemisphere, cylinder and cone.

Radius of hemisphere, cylinder and cone = 6 units.

Height of cylinder = 12 units

Slant height of cone = 10 units.

To find:

The volume of the given figure.

Solution:

Volume of hemisphere is:

V_1=\dfrac{2}{3}\pi r^3

Where, r is the radius of the hemisphere.

V_1=\dfrac{2}{3}(3.14)(6)^3

V_1=\dfrac{6.28}{3}(216)

V_1=452.16

Volume of cylinder is:

V_2=\pi r^2h

Where, r is the radius of the cylinder and h is the height of the cylinder.

V_2=(3.14)(6)^2(12)

V_2=(3.14)(36)(12)

V_2=1356.48

We know that,

l^2=r^2+h^2                               [Pythagoras theorem]

Where, l is length, r is the radius and h is the height of the cone.

(10)^2=(6)^2+h^2

100-36=h^2

\sqrt{64}=h

8=h

Volume of cone is:

V_3=\dfrac{1}{3}\pi r^2h

Where, r is the radius of the cone and h is the height of the cone.

V_3=\dfrac{1}{3}(3.14)(6)^2(8)

V_3=\dfrac{25.12}{3}(36)

V_3=301.44

Now, the volume of the combined figure is:

V=V_1+V_2+V_3

V=452.16+1356.48+301.44

V=2110.08

Therefore, the volume of the given figure is 2110.08 cubic units.

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3 years ago
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brilliants [131]

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dangina [55]
<h2>9</h2>

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