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victus00 [196]
2 years ago
9

Find the volume of the prisms. Show work!

Mathematics
1 answer:
Fed [463]2 years ago
6 0

1. Answer =   About 1451.42 m³

  • First, we need to find the volume of the cube:
  • Formula: πr²h
  • Volume = π * 3² * 50 = 1413.72 m³
  • Second, we need to find the volume of the cone:
  • Formula: (πr²h)/3
  • Volume = π * 3² * 4 = 37.69 m³
  • Third, we need to add these two volumes to find the total volume of the figure.
  • 1413.72 m³ + 37.69 m³ = 1451.42 m³.

2. Answer <em>= </em>960 m³

  • Formula: (1/2(b*l)) * 20
  • First, we need to find the area of the base (1/2 * b* l).
  • 1/2 * 8 * 12 = 48.
  • Second, we need to multiply the area of the base by the height to get the volume.
  • B * h = 48 * 20 = 960 m³.
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3 years ago
A bowl has a radius of 3 inches. What is the circumference of the bowl?
madreJ [45]

Answer:

9.42 (sorry if im late)

Step-by-step explanation:

I believe that if you take the radius and multiply it by pi (3.14), you get the circumfrence

3.14 x 3 = 9.42

6 0
2 years ago
Felix's parents opened a savings
Crazy boy [7]

The money in the Felix's account will be $6798 when he is 21.

<u>Step-by-step explanation:</u>

It is given that,

  • The amount deposited is $2000.
  • The account earns 6%  compound interest.
  • It is compounded  annually for 21 years.

<u>To find the money in Felix's account after 21 years :</u>

The formula used here is,

⇒ A = P(1+r/n)^{nt}

where A is the amount after 21 years.

  • P is the initial amount deposited ⇒ P = 2000
  • r is the rate ⇒ r = 0.06
  • n is the number of times interest is compounded per year⇒ n = 1
  • t is the time period ⇒ t = 21

⇒ 2000(1+0.06/1)^{21\times 1}

⇒ 2000(1.06)^{21}

⇒ 2000\times3.399

⇒ 6798

Therefore, The money in the Felix's account will be $6798 when he is 21.

4 0
3 years ago
On March 17th, Pinny Sporting Goods accepted a credit card purchase for $900. The credit card company charges a 2% service fee.
Vera_Pavlovna [14]

Answer:

A : debit to Service Charge Expense of $18.

Step-by-step explanation:

First, one should calculate the value, in dollars of the credit card service fee

Fee = 2% x $900 = $18.

Since this fee is classified as "money coming out" of the account, the entry to a record of this transaction should include a debit to Service Charge Expense of $18.

The correct answer is alternative A.

*The whole purchase amount ($900) should be credited and the service expense should be debited, unlike alternative C, which merges both entries into one.

6 0
3 years ago
How many ways can 6 people be seated in 4 seats
mojhsa [17]

switting upwards this should help



5 0
3 years ago
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