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
harina [27]
3 years ago
13

(15.) A toy is in the shape of a cone mounted on a hemisphere of same base

Mathematics
1 answer:
lisov135 [29]3 years ago
3 0
Given:

Volume of toy=231 cm³

Diameter of a hemisphere= 7 cm

cone and hemisphere have equal radius.

radius of hemisphere = radius of cone = 3.5 cm

Height of hemisphere= radius of hemisphere= 3.5 cm

Let H be the height of toy

H= height of cone+ height of hemisphere

H = h + r , ( h = height of cone)

H = h + 3.5

volume of toy = volume of cone + volume of hemisphere

Volume of toy= 1/3πr²h + 2/3πr³

Volume of toy=πr²/3(h+2r)

231 = (22/7)×(3.5)² ×(1/3)(h+2×3.5)

231×3 =( 22×3.5×3.5)/7 (h+7)

h+7 = (231×3×7)/(3.5×3.5×22)

h+7 = (3×3)/(.5×.5×2)

h+7= 900 /50= 90/5= 18

h+7= 18

h=18-7

h= 11 cm

Height of toy = h+r

Height of toy = 11+3.5= 14.5

Height of toy =14.5 cm

Hence, the height of the toy = 13.5 cm
You might be interested in
Ali runs next to one wall in a gym. The gym is
DiKsa [7]
<h2><em>Answer:</em></h2><h2><em>=</em><em>12</em></h2><h2><em>12step</em><em> </em><em>by step explanation:</em></h2><h2><em>=</em><em>solution:</em></h2><h2><em>solution: area of gym= 144</em></h2><h2><em>solution: area of gym= 144we know that,</em></h2><h2><em>solution: area of gym= 144we know that, area of square= L²</em></h2><h2><em>solution: area of gym= 144we know that, area of square= L² or,144= L²</em></h2><h2><em>solution: area of gym= 144we know that, area of square= L² or,144= L² or, (12)² = L²(12² means 12×12=144)</em></h2><h2><em>solution: area of gym= 144we know that, area of square= L² or,144= L² or, (12)² = L²(12² means 12×12=144) or, 12= L </em></h2><h2><em>solution: area of gym= 144we know that, area of square= L² or,144= L² or, (12)² = L²(12² means 12×12=144) or, 12= L therefore, L = 12 </em></h2>
7 0
3 years ago
On a field trip when their bus breaks down 40 miles from the school. A teacher takes 5 of them back to school in her car, travel
IceJOKER [234]
I think it would be 8 miles: it would have been 2 hours, so 4 * 2 is 8 miles.
:) Hope this helps!
3 0
4 years ago
Select the property of equality used to arrive at the conclusion.
Naya [18.7K]

Answer:

addition property of equality

Step-by-step explanation:

This is because the addition property of equality means

if a=b then a+c=b+c

So if, x=2 then x+8=2+8

6 0
3 years ago
Which of these distance measures would you most likely find on a walking tour map of downtown Paris, using the metric system?
Makovka662 [10]
The answer would be meters

5 0
3 years ago
Read 2 more answers
How would you set up this problem to find the height of the sail using reciprocal functions?
AVprozaik [17]

Remark

I'm not sure I know what you mean, but I will answer trying to interpret it so it fits the description of the question.

Step One: Set up the equation. The normal way of solving this would be to use the Cos function.

Cos(theta) = Adjacent / hypotenuse = x/8 Multiply both sides by 8

8*cos(theta) = x Theta = 35

8*cos(35) = x This is about as simple a way as is possible.

6.553 = the height of the sale.

Step Three: try using the reciprocal

1 / cos(35)= hypotenuse / adjacent

1/0.8191 = 8/x cross multiply

x = 0.8191 * 8

x = 6.553

5 0
3 years ago
Other questions:
  • Lori rented a booth at the craft fair for $200 to sell baskets she made. The cost of the materials for each basket was $8. Lori
    10·1 answer
  • Y = x + z<br><br> solve for x
    5·1 answer
  • Suppose you flip 3 quarters, one at a time. What is the probability that you will
    9·1 answer
  • Write 0.001742 in scientific notation.
    12·2 answers
  • Gabe took one of his friends out to lunch. The lunches cost $50 and he paid 10% sales tax. If Gabe left an 18% tip on the $50, h
    9·1 answer
  • 15 FIFTEEN POINTS AND BRAINLIEST!!
    6·2 answers
  • Find the equation of the line that passes through (1,6) and (3,10).
    11·1 answer
  • A health food store makes trail mix using dried fruit and nuts. The cost of the dried fruit is $2.50 per
    14·2 answers
  • Which two lines below are perpendicular lines?
    13·1 answer
  • gal created a painting with an area of 56 square inches and a length if 7 inches. they create a second painting with an area of
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!