The given area of the shape of 57.8·π cm², and length of the slant sides
being a factor of the radius, gives the length of the radius as <u>3.4 cm</u>.
<h3>How can the length of the radius be calculated?</h3>
Given;
Radius of the two cones are equal.
Slant height of one cone = 2 × Radius
Slant height of the other cone = 3 × Radius
Surface area of the shape = 57.8·π cm²
The curved surface area of a cone = π·r·l
Required:
The radius of the cone.
Solution;
Surface areas of the cones are therefore;
π·r × 2·r, and π·r × 3·r
The total surface area is therefore;
π·r × 2·r + π·r × 3·r = 57.8·π
5·r²·π = 57.8·π
Which gives;
r² = 57.8 ÷ 5 = 11.56
r = √(11.56) = 3.4
- The radius of the cones, r =<u> 3.4 cm</u>
Learn more about finding the surface area of 3-D shapes here:
brainly.com/question/15635229
Answer:
1. <u>distance</u><u> </u><u>is</u><u> </u><u>2</u><u>1</u><u>0</u><u>k</u><u>m</u>
<u>2</u><u>.</u><u> </u><u>distance</u><u> </u><u>is</u><u> </u><u>1</u><u>6</u><u>3</u><u>•</u><u>3</u><u>k</u><u>m</u>
Step-by-step explanation:
<h2> <u>QN1</u><u>;</u></h2>
<h2> <u>STEP1</u><u>;</u></h2>
SPEED=DISTANCE÷TIME
90km/h= X ÷ 2 hrs and 20mins
<h2> <u>STEP2</u><u>;</u></h2>
CHANGE 20 MINS INTO HRS
1 hr = 60mins
<h2> x</h2>
? = 20mins
<u>2</u><u>0</u><u>m</u><u>i</u><u>n</u><u>s</u><u> </u><u>*</u><u> </u><u>1</u><u>h</u><u>r</u>= 1/3hr
60mins
<h2> <u>STEP3</u><u>;</u></h2>
Speed=distance÷time
90km/h= X ÷ 21/3
Distance= speed * time
X = 90km/h * 21/3hrs
<u>distance</u><u> </u><u>is</u><u> </u><u>2</u><u>1</u><u>0</u><u>k</u><u>m</u>
<h2><u>QN</u><u> </u><u>2</u><u>;</u></h2>
Speed=distance ÷
70km/h= X ÷ 21/3hrs
Distance=speed * time
X = 70km/h * 21/3hrs
Multiply the 6 by 2x and 11 then you would add 15. You should then have on one side getting rid of the parenthesis 12x-51=3x+12. Add 51 and subtract 3x and you should get 9x=63. Then you would divide by 9 and get an answer of 7. To check you would plug 7 into the equation. 6(7•2-11)+15= 33 and 3•7 +12= 33
Answer:
77 is the answer your welcome