What is the volume(in cm3) of a cylinder if the radius of the cylinder is 8cm and the height is 14cm?\(\text{(Take } \pi = \dfrac{22}{7}\text{)}\)
From a circle with the radius of 15.75 cm, a sector with the arc length of 11 cm is cut off. Find the area (in cm2) of this sector.
Simplify:
what is the value of sec(t), if tan(t)=\(\dfrac{1}{3}\)?
\(\dfrac{2\sqrt{2}}{3}\)
\(\dfrac{\sqrt{10}}{9}\)
\(\dfrac{\sqrt{10}}{3}\)
\(\dfrac{\sqrt{3}}{3}\)
The points P and S are on the same side of the line segment QR, such that ∠PQR = 90°, ∠SRQ = 90°, and PQ = SR. Select the correct statement.
△PQR ≅ △SRQ by RHS
△PQR ≅ △SQR by SAS
△PQR ≅ △SQR by RHS
△PQR ≅ △SRQ by SAS
Simplify the following.
\(\dfrac{\sin^3 A - \cos^3 A}{\sin A - \cos A}\) , Where A is an acute angle.
The given chart shows the production of different types of cars in the year 2021.
Study the given chart and answer the question that follows.
If the total production in the year 2021 was 2,00,00,000, then what will be the central angle of the sector representing the production of type D cars in 2021?