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larisa [96]
2 years ago
12

Need to find volume, step by step explanation pls ​

Mathematics
1 answer:
worty [1.4K]2 years ago
7 0

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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andrew11 [14]

Answer:

$1.25.

Step-by-step explanation:    

We have been given that at a football game Jasmine bought a soft pretzel for $2.25 in a bottle of water for $1.50 she paid with a $5 bill.

First of all let us find how much Jasmine spent on soft pretzel and water bottle by adding the cost of both items.

\text{Total amount spent on both items}=2.25+1.50

\text{Total amount spent on both items}=3.75

To find the amount that Jasmine will get as a change we will subtract the amount spent on both items from 5.

\text{Amount of change that Jasmine will get}=5-3.75

\text{Amount of change that Jasmine will get}=1.25

Therefore, Jasmine will get $1.25 back as change.

3 0
3 years ago
MATCH THE number WITH ITS OPPOSITE
ycow [4]

To match the number with the opposite, we are flipping the sign. If the sign is originally a negative, it would become a positive, and vice versa.

Term: 3.2 Match (Opposite): B) - 3.2

Term: -2.3 Match (Opposite): D) 2.3

Term: -1.5 Match (Opposite): C) 1.5

Term: 5.1 Match (Opposite): A) -5.1

~

6 0
3 years ago
BAC ~ DEC what is the value of x?
Anna007 [38]

Answer: x = 37.8

Step-by-step explanation: We start with triangle ABC with two sides given as 15 and 18. We shall make angle C the reference angle and thereby calculate the third side, line BC.

Since we have the opposite side as 15, and the adjacent side (which lies between the reference angle and the right angle) as 18, we can use the tangent of the angle C

Tan C = Opp/Adj

Tan C = 15/18

Tan C = 0.8333

From our table of values/use of the calculator

Tan C = 39.8

Angle C in triangle ACB = Angle C in triangle ECD (Opposite angles are equal).

That takes us to triangle ECD, since the reference angle is known (39.8) and the opposite side is also given (31.5), we can now calculate the adjacent which is side x.

Tan C = Opp/Adj

Tan 39.8 = 31.5/x

when you cross multiply, x moves to the left hand side, while Tan 39.8 moves to the right hand side

x = 31.5/Tan 39.8

x = 31.5/0.8333

<u>x = 37.8</u>

5 0
3 years ago
I really need help, answer as many as you can please
amid [387]
5^2 -7•4+(36-2^(5) so do (36-2^5 first put that in the calculator which gets u 32.Then bring down 5^2-7•4+32 then do 5^2 and 7×4 which 25 -28+32 add them together u get 60 so 25 -60 is 35
6 0
3 years ago
Some of the following integers are prime. Compute the sum of the prime integers in the list. (a) 197 (b) 497 (c) 1111 (d) 2111 (
spin [16.1K]

The sum of the prime integers in the list is 10158.

<h3>What are Prime Numbers ?</h3>

The numbers that are divisible by 1 or itself is called a Prime Number.

The sum of two prime numbers is not a prime number

The given prime numbers are

197 , 497, 1111 ,2111 , 2643 , 3599

=197+ 497+1111+2111+2643+3599

= 10158

The sum of the prime integers in the list is 10158.

To know more about Prime Number

brainly.com/question/9315685

#SPJ1

4 0
2 years ago
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