All categories

3 years ago

the surface area of a cone is 150 Pi square inches the radius of the base is 10in what is the slant height

Mathematics

1 answer:

vovikov84 [41]3 years ago

5 0

The surface area of a cone consists of the area of lateral side and the area of the base. The area of lateral side is determined using (π × r × s), s represents the slant height. The area of the base is determined using the formula of the area of a circle.

area of lateral side + area of base = surface area
(π × r × s) + (π × r²) = surface area

Input the numbers
(π × r × s) + (π × r²) = surface area
(π × 10 × s) + (π × 10²) = 150π
10πs + 100π = 150π
10πs = 150π - 100π
10πs = 50π
s = 50π/10π
s = 5
The slant height is 5 inches

You might be interested in

Given △XPS≅△DNF, find the values of x and y.

White raven [17]

Answer:

x = 3

y = 15

Step-by-step explanation:

If △XPS ≅△DNF, their corresponding sides would be congruent. This implies that:

XP ≅ DN

PS ≅ NF

XS ≅ DF

Given that:

XP = 4y - 3

DN = 57

NF = 51

XS = 17x + 3

DF = 54

Therefore:

XP = DN

4y - 3 = 57 (Substitution)

Add 3 to both sides

4y = 57 + 3

4y = 60

Divide both sides by 4

y = 60/4

y = 15

Also,

XS = DF

17x + 3 = 54 (substitution)

Subtract 3 from each side

17x = 54 - 3

17x = 51

Divide both sides by 17

x = 51/17

x = 3

4 0

3 years ago

Write 80% as a decimal number and as a reduced fraction

GuDViN [60]

Answer:

Decimal: 0.80 Reduced fraction: $\frac{4}{5}$

Step-by-step explanation:

Take 80% and move the decimal two place values to the left.

This makes 0.80 (The decimal point is where the percent sign is.)

0.80 is $\frac{8}{10}$ because the 8 is in the tenths place value.

$\frac{8}{10}$ can be simplified by dividing both the numerator and the denominator by 2.

$\frac{8}{10}$ = $\frac{4}{5}$

7 0

3 years ago

Sarah had invested $800 in a savings account that paid 4.2% interest compounded annually. How much money was in the account afte

schepotkina [342]

Answer: $943.11

Step-by-step explanation:

Compound Interest formula is: $A=P(1+r)^t$ where

A is the Accrued amount (total earned)
P is the Principal (amount initially invested)
r is the interest Rate (convert percent to a decimal)
t is the Time (number of years)

It is given that; P = 800 r = 4.2% (0.042) t = 4

A = 800(1 + 0.042)⁴

A = 800(1.042)⁴

A = 943.106 → A = 943.11 (rounded to the nearest penny)

Sarah invested $800 for four years at an interest rate of 4.2% and accrued $943.11

5 0

4 years ago

Bret Parks has group health insurance. His coverage has a $200 deductible. He was recently treated for a covered condition. The

Vesnalui [34]

3500 - 200 =3300...what is owed after the deductible is paid

0.80(3300) = 2640 <== insurance companies payment

(3300 - 2640) + 200 = 660 + 200 = 860 <== what Bret paid

8 0

4 years ago

Read 2 more answers

A cylindrical water tank is 1.2 meters high and has a diameter of 4.6 meters. Approximately how much cubic meters of water will

uranmaximum [27]

So what you need to do is find the volume and divide it by 2.

6 0

3 years ago

Read 2 more answers