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
BartSMP [9]
3 years ago
9

Multiple choice a. 12 pie cm b. 21 pie cm c. 35 pie cm

Mathematics
1 answer:
Karolina [17]3 years ago
7 0

Answer:

The correct option is;

a. 12 pie cm

Step-by-step explanation:

Cavalieri's principle states that if the cross-sectional area of two or more figures of the same altitude are the same at each level of the figures, then the volumes of the figures are also the same;

Given that the base area of the square based prism and the cylinder are the same, and that the square based prism and the cylinder have equal height of 4 cm, then by Cavalieri's principle, their volumes are the same

The volume of the square based prism = 452 cm³

Therefore, the volume of the cylinder (of equal base area) = 452 cm³

The formula for the volume of square based prism = Area of base × Height

∴ The volume of square based prism, 452 cm³ = Area of base × 4 cm

Which gives;

Area of the base of the square based prism  = 452/4 = 113 cm²

The area of the base of the cylinder A_c  = The area of the base of the square based prism = 113 cm²

The area of the base of the cylinder,A_c  is given by the following equation;

A_c = π×r² = 113 cm²

r = √(113/π) = √35.97 ≈ √36  = 6 cm

The circumference of the base of the cylinder,C_c  is given by the following equation

C_c = 2×π×r ≈ 2×π×6 = 12×π cm

The correct option is 12 pie cm.

You might be interested in
Can someone help me with my summer school geometry work ?
JulsSmile [24]

Answer:

second one

Step-by-step explanation:

8 0
3 years ago
Evaluate e/4 +2f when e=12 and f =1/2
allochka39001 [22]
12/4 = 3 + 2x 1/2
Divide and then multiply and your answer will be 4
5 0
3 years ago
How do you solve this
marusya05 [52]
Hope this helps! Good luck!

3 0
3 years ago
Find the indicated side of the<br> right triangle.<br> 45°<br> y<br> 6<br> 45°
Pavlova-9 [17]

Answer:

6

Step-by-step explanation:

tan 45 = 6 / x

1 = 6 / x

x = 6

Note :

Tan 45 value = 1

7 0
3 years ago
Read 2 more answers
Two coins have a radii of 3 cm and 1 cm the smaller coin rolls along the circumference of the fixed larger coin until the smalle
dezoksy [38]
I think you have to do 3cm/1cm

I think the small coin makes 3 revolution
6 0
3 years ago
Other questions:
  • Solve for y. 8y -11y – -2 = -16 y =
    10·1 answer
  • In triangle FGH, GJ is an angle bisector of ∠G and perpendicular to FH.
    14·1 answer
  • The total cost f(x), in dollars, for renting a vacation house for x days is shown:
    9·2 answers
  • How much simple interest will be due on a loan of $6000 at a 3.5% annual interest rate for one year?
    9·1 answer
  • How was your day? answer to get easy points :))
    10·2 answers
  • PLS HELP ASAP!!!!! I NEED THIS FASSTTT!!!!
    8·1 answer
  • Michelle's bird feeder holds 4/5 of a cup of birdseed. Michelle is filling the bird feeder with a scoop that holds 2/5 of a cup.
    12·2 answers
  • Can someone help me quick. I really need help!! I’ll mark brainliest!! Please &amp; thank youuu!
    12·1 answer
  • In order to meet ADA (Americans with Disabilities Act) requirements, a wheelchair ramp must have an angle of elevation of no mor
    15·1 answer
  • Please help will give brianliest
    8·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!