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3 years ago

If a cone has a volume of 60pi cubic meters then what is the radius, height, and diameter

Mathematics

2 answers:

algol [13]3 years ago

8 0

Answer:

60pi = ⅓ × pi × r² × h

180 = r²h

Assuming r and h are whole numbers,

r = 3 m , h = 180/3² = 20 m

Diameter = 6 m

Or,

r = 6 m, h = 180/6² = 5 m

Diameter = 12 m

ss7ja [257]3 years ago

7 0

Answer:

60pi = ⅓ × pi × r² × h

180 = r²h

Assuming r and h are whole numbers,

r = 3 m , h = 180/3² = 20 m

Diameter = 6 m

Or,

r = 6 m, h = 180/6² = 5 m

Diameter = 12 m

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2 years ago

A bag contains 8 red balls and 6 blue

Andreyy89

Answer:

The probability that all 3 balls are red is 18.65%, while the probability that all 3 balls are blue is 7.87%.

Step-by-step explanation:

Since a bag contains 8 red balls and 6 blue balls, and Radhika takes three balls at random from the bag, without replacement, to calculate the probability that the three balls are the same color, the following mathematical operations must be performed:

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2 years ago

A trough has ends shaped like isosceles triangles, with width 5 m and height 7 m, and the trough is 12 m long. Water is being pu

Svet_ta [14]

Answer:

$\dfrac{dh}{dt}=21 \text{m/min}$

the rate of change of height when the water is 1 meter deep is 21 m/min

Step-by-step explanation:

First we need to find the volume of the trough given its dimensions and shape: (it has a prism shape so we can directly use that formula OR we can multiply the area of its triangular face with the length of the trough)

$V = \dfrac{1}{2}(bh)\times L$

here L is a constant since that won't change as the water is being filled in the trough, however 'b' and 'h' will be changing. The equation has two independent variables and we need to convert this equation so it is only dependent on 'h' (the height of the water).

As its an isosceles triangle we can find a relationship between b and h. the ratio between the b and h will be always be the same:

$\dfrac{b}{h} = \dfrac{5}{7}$