Answer:
260 / 5 = 52
Step-by-step explanation:
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Answer:
area of 105° segment = 74.2 in²
Step-by-step explanation:
area of entire circle = πr² = (3.14)(9²) = 254.34 in²
area of 105° segment = (105/360)(254.34) = 74.2 in²
Step-by-step explanation:
We need to choose all the expressions that are equal to 61.
(i) |−61| : It is true. Modulus of any negative number gives positive number. |-61|=61.
(ii) The opposite of −61 ; It is true. Opposite of negative is positive.
(iii) The opposite of 61 : It is false. The opposite of 61 gives -61.
(iv) distance from zero to −61 : It is true. Distance is positive always.
(v) −|61| : False. It remains negative.
(vi) −|−61| : False. It remains negative.
(vii) -(-61) : True. Double negative makes positive
.
Hence, the correct options are : (i), (ii), (iv), (vii).
Answer:
Surface area = 
Volume = 
Step-by-step explanation:
To find the surface area of our cone, we are using the formula for the surface area of a cone:

where
is the surface area
is the radius
is the height
Notice that the height, radius, and slant height make a right triangle, so to find the height,
, we can use the Pythagorean theorem:






cm
We have all we need now to find the surface area of our cone:


Now, to find the volume of our cone, we are using the formula for the volume of a cone:

where
is the volume
is the radius
is the height
Replacing values


We can conclude that the surface area of our cone is 261.6 square centimeters and its volume is 281.2 cubic centimeters.