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ankoles [38]
3 years ago
12

HELP ME OUTTTT PLEASEEEEEE

Mathematics
1 answer:
Alex3 years ago
7 0

Answer:

3

Step-by-step explanation:  

hope this helps

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A cone of radius 10 cm and height 16 cm is divided into two parts by a plane through the midpoint of its
bazaltina [42]

Answer:

The ratio of their volumes (the top to bottom half) is 1/7

Step-by-step explanation:

The given parameters are;

The radius, r, of the cone = 10 cm

The height of the cone = 16 cm

The point at which the cone is divided = The midpoint of the its axis and parallel to its base

The ratio of the of the volume of the two parts is given as follows;

The volume, V of the entire cone = 1/3 × Base area (π·r²) × Height, h

Therefore;

V = 1/3 × π × 10² × 16 =1600·π/3 =  1675.52 cm³

The height at which the cone is divided = 16/2 = 8 cm

The height, h₁ of the uppermost divided cone = 8 cm

The ratio of the radius to the height of the cone = 10/16 = 5/8

The radius r₁, of the uppermost divided cone = The height of the uppermost divided cone × The ratio of the radius to the height of the cone

∴ r₁ = 8 × 5/8 = 5 cm

The volume, V₁, of the uppermost divided cone = 1/3 × (π·r₁²) × h₁

∴ V₁ = 1/3 × π × 5² × 8 = 200·π/3 = 209.44 cm³

Which gives;

The volume of the lower cone, V₂ =  V - V₁

V₂ =  1675.52 cm³ - 209.44 cm³ = 1400·π/3 = 1466.1 cm³

The ratio of their volumes V₁ : V₂ = V₁/V₂ = (200·π/3)/(1400·π/3) = 209.44/1466.1 = 1/7.

7 0
3 years ago
Please help! & don’t answer with “don’t know the answer”
ValentinkaMS [17]

Answer:

c

Step-by-step explanation:

x+x=90

2x=90 ,x=45 ,∆BAD=45

8 0
2 years ago
3) At a school several teachers were holding a contest to see which class could earn the most trivia points. Mrs. Clawson's clas
Snezhnost [94]

Answer:

Mean: 89

Median: 90

Mode: 94

Range: 12

5 0
2 years ago
What are the zeros of the quadratic function f(x) = 6x^2 + 12x - 7?
Sergeeva-Olga [200]

Answer:

-12 + √(144- 4(-42)/12

-12 + √312/12

-12 + 17.6 / 12

= +.47 and -.47

4 0
2 years ago
The median rainfall during a spring storm in the lowlands is about 4 mm less than a spring storm in the highlands. The mean rain
butalik [34]

Median is just the value that is neither the highest nor the lowest compared with the other values in the set


Mean is just the average of the numbers which is found out by adding up all the numbers then dividing the sum by the number of values in the set

3 0
3 years ago
Read 2 more answers
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