Steps:
Radius= 17in
Height= 10in
Formula: V=πr2h
Shape: Right cylinder
Solved for volume
H= Height
R= Radius
Description:
We know that R is 17 inches, and H is 10 inches. Since we are finding the volume we use the formula V=πr2h to calculate. After calculating your answer will come as V≈9079.2in³. You also said to round your answer to the nearest hundredth. After rounding your answer to th enearest hundredth your answer will come as 9,079.20.
Answer: V≈9079.2in³
Round to the nearest hundredth = 9,079.20
Please mark brainliest
<em><u>Hope this helps.</u></em>
(a) The lateral surface area of the prism is 720 sq units and the total surface area is 752 sq units.
(b) The lateral surface area of the cone is 136π sq units and the total surface area is 200π sq units.
(c) The lateral surface area of the cylinder is 242π sq units and the total surface area is 484π sq units.
<h3>
Lateral surface area of the prism</h3>
L.S.A = Ph
where;
- P is perimeter of the base
- h is height of the prism
h² = 17² - 8²
h² = 225
h = 15
L.S.A = (3 x 16) x 15 = 720 sq units
<h3>Total s
urface area of the prism</h3>
T.S.A = PH + 2B
T.S.A = 720 + 2(16) = 752 sq units
<h3>
Lateral surface area of the cone</h3>
L.S.A = πrt
where;
- t is the slant height = 17
r² = 17² - 15²
r² = 64
r = 8
L.S.A = π(8)(17) = 136π sq units
<h3>
Total surface area of the cone</h3>
T.S.A = πrt + πr²
T.S.A = 136π sq units + π(8)²
T.S.A = 200π sq units
<h3>
Lateral surface area of the cylinder</h3>
L.S.A = 2πrh
where;
- r is the radius of the cylinder = 11
- h is height of the cylinder = 11
L.S.A = 2π(11 x 11) = 242π sq units
<h3>Total
surface area of the cylinder</h3>
T.S.A = 2πrh + 2πr² = 2πr(r + h)
T.S.A = 2π(11)(11 + 11)
T.S.A = 484π sq units.
Thus, the lateral surface area of the prism is 720 sq units and the total surface area is 752 sq units.
- the lateral surface area of the cone is 136π sq units and the total surface area is 200π sq units.
- the lateral surface area of the cylinder is 242π sq units and the total surface area is 484π sq units.
Learn more about surface area here: brainly.com/question/76387
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Answer:
A-2, B-5, C-1, D-6, E-3, F-4
Step-by-step explanation:
The A would be the function x^3, so it would be the volume of a cube which is #2
B is probably the temperature graph, because it is warmest in the middle of the day and cooler at both ends, so that is #5
C is probably the age of an oak tree because it starts at 0, and grows linearly. #1
E is #3 because it is decreasing and so is the fuel in the tank.
F is the area of a triangle one, because that would be a quadratic function (half of a parabola)#4
D is the car wash, it doesn't start at 0 because the x-axis is the time of day. #6
Rewrite it in the form; a^2 - b^2, where a = 5x and b = 6
(5x)^2 - 6^2
Use the Difference of Squares: a^2 - b^2 = (a + b)(a - b)
<u>(5x + 6)(5x - 6) </u>
This is the concept of probability and statistics, we are required to find the probability that when a 6-sided cube is rolled the outcome will be even sum or a sum that is multiple of 3.
The probability space is:
x=(1,2,3,4,5,6)
P(x)=1/6
P(even)=3/6=1/2
P(multiple of 3)=3/6=1/2
P(even or Multiple of 3)=1/2*1/2=1/4
