1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Flauer [41]
4 years ago
13

The cross-sectional areas of a right triangular prism and a right cylinder are congruent. The right triangular prism has a heigh

t of 2 units, and the right cylinder has a height of 6 units. Which conclusion can be made from the given information?
A.) The volume of the triangular prism is half the volume of the cylinder. B.)The volume of the triangular prism is not equal to the volume of the cylinder.
C.)The volume of the triangular prism is twice the volume of the cylinder.
D.) The volume of the triangular prism is equal to the volume of the cylinder.
Mathematics
1 answer:
Lina20 [59]4 years ago
5 0

Answer:

B.)The volume of the triangular prism is not equal to the volume of the cylinder.

Step-by-step explanation:

Let A be the cross-sectional area of both congruent right triangular prism and right cylinder.

Since the prism has height 2 units, its volume V₁ = 2A.

Since the cylinder has height 6 units, its volume is V₂ = 6A

Dividing V₁/V₂ = 2A/6A =1/3

V₁ = V₂/3.

The volume of the prism is one-third the volume of the cylinder.

So, since the volume of the prism is neither double nor half of the volume of the cylinder nor is it equal to the volume of the cylinder, B is the correct answer.

So, the volume of the triangular prism is not equal to the volume of the cylinder.

You might be interested in
There are 5 blue socks in Josh’s drawer. After he removes 3 non-blue socks, the probability to pick a blue sock at random become
stich3 [128]

Answer: There is 5 non blue sock in Josh's drawer

Step-by-step explanation:

The denominator shows the total of nonblue and blue socks. So there are 7 non-blue and blue socks in the drawer after he removes 3 non blue socks.To find how many non-blue where in the drawer originally you need to find how many non blue are in the draw after removing the three. So you subtract 7 from 5 which gives you 2. So there are 2 non-blue socks in the drawer after removing the three. Now you need to find how many non-blue were there before he removed the three. So add the 3 non blue socks that he removed to the two that were there after which gives you five.

6 0
2 years ago
Read 2 more answers
A fast-food restaurant offers 6 different burgers, 5 different side orders, 8 different flavor drinks, and 8 different flavors o
tresset_1 [31]

Answer:

235,200 ways

Step-by-step explanation:

A fast-food restaurant offers 6 different burgers

5 different side orders

8 different flavor drinks

8 different flavors of ice cream.

use combination to find the ways nCr

nCr= \frac{n!}{r!(n-r)!}

2 burgers can be selected from 6 different burgers in 6C2 ways

6C2= \frac{6!}{2!(6-2)!}=15

2 different sides can be selected from 5 different side orders in 5C2 ways

5C2= \frac{5!}{2!(5-2)!}=10

3 different flavor drinks can be selected from 8 different flavor drinks in 8C3ways

8C3= \frac{8!}{3!(8-3)!}=56

2 ice cream flavors can be selected from 8 ice cream flavors in 8C2 ways

8C2= \frac{8!}{2!(8-2)!}=28

Total ways = 15 \cdot 10 \cdot 56 \cdot 28=235200

8 0
3 years ago
If the focal point is (2,5) and the directrix is y = -7. Find the equation of the parabola.
mihalych1998 [28]

Answer:

The equation of the parabola is (x-2)^2 = 48(y-5)

Step-by-step explanation:

Mathematically, we can obtain the equation of a parabola from its focal point and the directrix given.

Firstly, we need to find the distance between the director and the vertex

That would be ;

|-7-(5)| = 12

We should kindly note that the directrix is below the vertex and thus it is a right-side parabola with a positive value of p = 12

Thus, the equation needed would be;

(x-h)^2 = 4p(y-k)

From the question, h = 2

p = 12 ( calculated) and k = 5

So the equation would be;

(x-2)^2 = 4(12)(y-5)

= (x-2)^2 = 48(y-5)

8 0
4 years ago
Erin wants to carpet the floor of her closet a floor plan of the closet is shown how much carpet does Aaron need
erma4kov [3.2K]
I think 3 by 10...length X width ...
8 0
3 years ago
Read 2 more answers
Please help me. I hate word problems.
nevsk [136]

Answer:

Answer: C

Step-by-step explanation:

Start with 20.50 then subtract 4.00. then, keep subtracting 2.75

4 0
3 years ago
Read 2 more answers
Other questions:
  • If y=kx, where k is a constant, and y=24 when x=6, what is the value of y when x=5
    10·1 answer
  • 3. Dr. Potter provides vaccinations against polio and measles. Each polio vaccination consists of 5
    11·1 answer
  • 4) Divide 500g into the ratio 2:3​
    13·1 answer
  • How do find the head start plsss help
    5·1 answer
  • Which of the following fraction pairs are equivalent fractions? *
    10·1 answer
  • You start with $1000 and every day you will receive the previous day’s total plus an additional $1000 a day for 30 days. How muc
    13·1 answer
  • Help helppp help i need answerr thank Uuuuuuuuu​
    14·2 answers
  • The total cost of a compact disc, including a 6% sales tax, is $14.31.
    5·2 answers
  • Width in the formula for the area of a rectangle.
    9·1 answer
  • Over what interval is the graph of<br> y=-2 + 1x - 2 increasing?
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!