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
Dmitrij [34]
3 years ago
14

A hemispherical depression is cut out from one face of a cuboidal wooden block of edge 21cm such that the diameter of the hemisp

here is equal to the edge of the cube. Determine the total surface area of the remaining block
Mathematics
2 answers:
Mandarinka [93]3 years ago
4 0

Answer:

  (2646 +110.25π) cm² ≈ 2992.4 cm²

Step-by-step explanation:

The area of a sphere is 4 times the area of a circle with the same radius. Hence the area of a hemisphere will be 2 times the area of that circle. This means carving a hemispherical depression in the face of the cube will add an area that is equal to the area of the circular hole.

Of course the total surface area of a cube is 6 times the area of one square face. The area of a circle is ...

  A = πr² = π(d/2)² = (π/4)d²

The total surface area of the carved cube is ...

  S = 6·(21 cm)² + (π/4)·(21 cm)² = (441 cm²)(6 +π/4)

  S ≈ 2992.36 cm²

The total surface area of the remaining block is about 2992.4 cm².

joja [24]3 years ago
4 0

Answer:

(2646 +110.25π) cm² ≈ 2992.4 cm²

Step-by-step explanation:

You might be interested in
WRITING LINE AR INEQUALITIES Nancy works at Love at First Bite bakery where she decorates cakes and cupcakes. It takes her an av
ozzi

Answer:

32

Step-by-step explanation:

6 0
3 years ago
Please fast brainly I give brainlies to the correct answer
sp2606 [1]
It’ll be the one on the far right last one ;)
4 0
2 years ago
Read 2 more answers
How do find a measurement of an angle?
aleksley [76]
You can find the measurement of an angle by using a protractor. Hope this helps!
3 0
3 years ago
Eleven and 3/4 minus four and1/3​
miskamm [114]

Answer: 89/12 or 7 5/12

Step-by-step explanation:

11 3/4 - 4 1/3

First let's make an improper fraction.

47/4 - 13/3

Now, let's make these fractions have the same denominator.

141/12 - 52/12

89/12

If you want 89/12 in a mixed number, it should be 7 5/12.

3 0
3 years ago
Read 2 more answers
Equivalent fraction of 8 1/3
Advocard [28]
The equivalent fraction to 8 1/3 is 25/3
4 0
3 years ago
Other questions:
  • Help please :( !! i don’t understand:/
    12·1 answer
  • The one gives the answer will be marked as the brainliest.......
    15·2 answers
  • I need you show me the answer what a or b or c
    11·2 answers
  • Tim can paint a room in 6 hours. Ben can paint the same room in 4 hours. How many hours would it take Tim and Ben to paint the r
    5·1 answer
  • What is the sum of -3 and -12
    14·1 answer
  • The scale On a map is 2 cm equals 15 miles is measures the distance to the next town at seven cm how many miles away is the next
    12·1 answer
  • What is the graph of 4x + 7y = -28?
    5·2 answers
  • A vat of orange contains the juices from 843 oranges . If a company has 89 vats . How many oranges would they use to fill them.
    8·1 answer
  • Sec 3/4 pi<br>find the exact value using a triangle reference ​
    12·1 answer
  • The profit earned by a hot dog stand is a linear function of the number of hot dogs sold. It costs the owner $48 dollars each mo
    8·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!