What is the measure of A and C, A = (12x + 12), b = (15) C =(3x + 18)°

Need to find volume, step by step explanation pls

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.

7 0

2 years ago

How do you find the perimeter of a trapezoid?

AlexFokin [52]

Add the lengths of all sides

3 0

2 years ago

Read 2 more answers

Solve this step by step

Kaylis [27]

Step-by-step explanation:

the formula to calculate a circumference is

$x \times \pi$

(consider x as the diameter)

so I'll be noting the circumference as C alongside the circle's ranking

a.

$ca = 6 \times 22 \div 7 \\ = 44 \div 7$

b.

$cb = 7 \times 22 \div 7 \\ = 154 \div 7 \\ = 22$

c.

$cc \: = 4 \times 22 \div 7 \\ = 88 \div 7$

hope I helped

8 0

2 years ago

Changing Dimensions of 3-D Figures

Leni [432]

The prisms are congruent if the lengths of corresponding edges are in a 1:1 ratio, the volumes and the base areas are equal and the prisms have same height

Step-by-step explanation:

For the two prisms to be congruent the following properties should hold TRUE

The lengths of corresponding edges are in a 1:1 ratio.

The volumes are equal.

The base areas are equal.

The prisms have the same height.

4 0

3 years ago

The area of a garden is 8 3/4 square yards. If the lenght is 1 1/4 yards , what is the length?

andrezito [222]

Answer:

The Missing Length = 7

Step-by-step explanation:

Equation: side length x side length = area

This means that if you divide the area by one of the side lengths, you'll find the other

1. Convert the numbers into decimals

8 3/4 - 8.75 (area)
1 1/4 = 1.25 (side length)

2. Divide the area by the side length

8.75 ÷ 1.25 = 7

7 is the answer.

6 0

2 years ago