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morpeh [17]
3 years ago
6

I need help find the volume of the composite solid use 3.14 for pi

Mathematics
1 answer:
Evgen [1.6K]3 years ago
5 0

Answer:

222.312\:\mathrm{in^3}

Step-by-step explanation:

The composite solid consists of a cylinder and a cone. Therefore, its total volume will be the sum of the volumes of the cylinder and cone:

Volume of the cone: \frac{1}{3}\cdot 2^2\cdot 3.14\cdot 8.1 =33.912

Volume of the cylinder: 2^2\cdot 3.14 \cdot 15=188.4

Thus, the total volume of the solid is:

33.912+188.4=\boxed{222.312\:\mathrm{in^3}}

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Answer:

U = -6

Step-by-step explanation:

-16 = 8 + 4u

-24 = 4u

-24/4 = 4u/4

-6 = u

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2 years ago
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
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Answer:

15 baskets

Step-by-step explanation:

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A ball is thrown straight up with a initial velocity of 56 feet per second . The height , h , of the ball t seconds after it is
Tju [1.3M]

<span>Formula: H(t) = 56t – 16t^2   </span>

H(t) = - 16t^2 + 56t

<span><span>A.      </span>What is the height of the ball after 1 second? H (1) = 56(1) – 16(1) ^2 = 40 pt.</span>

<span><span>B.      </span>What is the maximum height? X = - (56)/2(- 16) = 1.75 sec h (1.75) = 56(1.75) – 16(1.75) ^2 h (1.75) = 49ft.</span>

<span><span>C.      </span><span>After how many seconds will it return to the ground? – 16t^2 + 56t = 0   - 8t =0 t = 0</span></span>

<span><span>-          </span><span>8t (2 + - 7) = 0     2t – 7 = 0  t = 7/2   Ans: 3.5 seconds</span></span>

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3 years ago
Binomial theorem Expand (5 - y)3
Snowcat [4.5K]

Answer:

(5 - y) ^3 = 125 - 75y + 15y^2 - y^3

Step-by-step explanation:

Binomial expression

1

1. 1

1. 2. 1

1. 3. 3. 1 --------power of 3

( 5 - y) ^3

( 5 - y) (5 - y) (5 - y)

( a + b) ^3 = a^3 + 3a^2b + 3ab^2 + b^3

a = 5

b = -y

( 5 - y) ^2 = ( 5 - y) (5 - y)

= 5( 5 - y) - y(5 - y)

= 25 - 5y - 5y + y^2

=(25-10y+y^2)

( 25 - 10y + y^2)( 5 - y)

= 5(25 - 10y + y^2) - y( 25 - 10y + y^2)

= 125 - 50y + 5y^2 - 25y + 10y^2 - y^3

Collect the like terms

= 125 - 50y - 25y + 5y^2 + 10y^2 - y^3

= 125 - 75y + 15y^2 - y^3

7 0
3 years ago
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