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Leviafan [203]
3 years ago
10

What is the volume of a hemisphere with a diameter of 8ft, rounded to the nearest tenth of a cubic foot

Mathematics
1 answer:
lions [1.4K]3 years ago
5 0

Answer:

The volume of the hemisphere is 1071.78\ ft^3.

Step-by-step explanation:

We have,

The diameter of a hemisphere is 8 ft. It is required to find its volume.

The formula of the volume of hemisphere is given by :

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

r is radius of hemisphere

Here, r = 4 ft

So,

V=\dfrac{2}{3}\times 3.14\times (8)^3\\\\V=1071.78\ ft^3

So, the volume of the hemisphere is 1071.78\ ft^3.

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find the probability of being delt 5 clubs and 3 cards with one of each remaining suit in 8 card poker
kumpel [21]

Answer: 0.003757(approx).

Step-by-step explanation:

Total number of combinations of selecting r things out of n things is given by:-

^nC_r=\dfrac{n!}{r!(n-r)!}

Total cards in a deck = 52

Total number of ways of choosing 8 cards out of 52 = ^{52}C_8

Total number of ways to choose 5 clubs and 3 cards with one of each remaining suit = ^{13}C_5\times^{13}C_1\times^{13}C_1\times^{13}C_1  [since 1 suit has 13 cards]

The required probability = =\dfrac{^{13}C_5\times^{13}C_1\times^{13}C_1\times^{13}C_1}{^{52}C_8}

=\dfrac{\dfrac{13!}{5!8!}\times13\times13\times13}{\dfrac{52!}{8!44!}}\\\\=\dfrac{24167}{6431950}\\\\\approx0.003757

Hence, the required probability is 0.003757 (approx).

5 0
3 years ago
A firm manufactured 1000 Tv sets during its first yeae the total firns production during 10 years of operation is 29035 sets If
Alexus [3.1K]

Answer: the increase each year is 423 tv sets

Step-by-step explanation:

The formula for determining the sum of n terms of an arithmetic sequence is expressed as

Sn = n/2[2a + (n - 1)d]

Where

n represents the number of terms in the arithmetic sequence.

d represents the common difference of the terms in the arithmetic sequence.

a represents the first term of the arithmetic sequence.

From the information given,

n = 10 years

a = 1000

S10 = 29035

We want to determine d which is the amount by which the production increased each year. Therefore, the sum of the first 10 years would be

29035 = 10/2[2 × 1000 + (10 - 1)d]

29035 = 5[2000 + 9d]

29035/5 = [2000 + 9d]

9d = 5807 - 2000 = 3807

d = 3807/9 = 423

3 0
3 years ago
What the answer to this
alisha [4.7K]

Answer:

Grapes are sold for 1.75 per pound.

6 0
3 years ago
Find a ⋅ b.<br><br> a = 9i + 5j, b = 4i + 3j
IgorLugansk [536]
-36 + 47ji + 15j^2


Best luck with your studying
6 0
3 years ago
1/2x + x + 1/5y + y = 32
NeTakaya
(1/2)x + x + (1/5)y + y = 32

(3/2)x + (6/5)y = 32
4 0
3 years ago
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