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frutty [35]
3 years ago
7

Compare the volumes of a hemisphere nd a cone with congruent bases and equal heights

Mathematics
1 answer:
Cloud [144]3 years ago
3 0
We know that
volume of a hemisphere=(1/2)*(4/3)*pi*r³----> (2/3)*pi*r³

volume of a cone=(1/3)*pi*r²*h
h=r
so
volume of a cone=(1/3)*pi*r²*r----> (1/3)*pi*r³

volume of a hemisphere/volume of a cone
= [(2/3)*pi*r³]/[(1/3)*pi*r³]
=(2/3)/(1/3)
=2
volume of a hemisphere=2*volume of a cone
<span>the volume of the hemisphere is twice the volume of the cone</span>
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Draw a model. Then, write the numerical expressions.
kondor19780726 [428]

Answer with Step-by-step explanation:

a. The difference between 8 forty-sevens and 7 forty-sevens

Let ⊕ repesents forty- sevens.

So, Model can be represented by

8⊕ - 7⊕

=⊕⊕⊕⊕⊕⊕⊕⊕-⊕⊕⊕⊕⊕⊕⊕

=⊕

Mathematically,

let x represents forty-sevens.

So, it becomes

8x-7x=x

b. 6 times the sum of 12 and 8.

Mathematically, it is expressed as

6\times (12+8)\\\\=6\times 20\\\\=120

Let 12 be written as 4×3

and 8 be written as 4×2

Let ⊕ represents 4 i.e. fours.

so, there are sum of 2 fours and 3 fours.

So, it becomes,

6×(⊕⊕+⊕⊕⊕)

=6×(⊕⊕⊕⊕⊕)

=⊕⊕⊕⊕⊕⊕⊕⊕⊕⊕⊕⊕⊕⊕⊕⊕⊕⊕⊕⊕⊕⊕⊕⊕⊕⊕⊕⊕⊕

=4×30

=120

3 0
3 years ago
16. What is the value of 2 1/8x4 3/4
Aneli [31]

Answer:

10/3/32

Step-by-step explanation:

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8 0
3 years ago
What is the square root of 100 times two divided by two
gogolik [260]

Answer:

10 is your answer

Step-by-step explanation:

√((100 * 2)/2)

Simplify. First, follow the Parenthesis. Combine 100 with 2

100 * 2 = 200

Next, divide by 2

200/2 = 100

Root 100

√100 = √10 * √10 = 10

10 is your answer

~

An easier way to solving this is to first cancel out the 2's ( multiplying 2 and dividing 2 would do nothing), and just square rooting 100, giving you the answer 10.

~

8 0
3 years ago
Read 2 more answers
A paper hat is folded into the shape of a kite, as shown.
Sedbober [7]

Answer:                              

the answer is D. 22

3 0
3 years ago
What are RQS and TQS?
yaroslaw [1]

Answer:

m∠RQS = 72°

m∠TQS = 83°

Step-by-step explanation:

m∠RQS +m ∠TQS = m∠RQT

The two angles combine to make a larger angle

So

m∠RQS = (4x - 20)

m∠TQS = (3x + 14)

(4x - 20) + (3x + 14) = 155

Group the Xs and the constants

4x + 3x - 20 + 14 = 155

Combine like terms

7x - 6 = 155

Add 6 to both sides

7x = 161

Divide by 7 on both sides

x = 23

Check:

4(23) - 20 + 3(23) + 14 = 155

92 - 20 + 69 + 14 = 155

155 = 155

But we need to find m∠RQS and m∠TQS. So plug in x = 23 to the values.

m∠RQS = 4(23) - 20 = 72°

m∠TQS = 3(23) + 14 = 83°

Checking:

72 + 83 = 155

8 0
3 years ago
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